448
K. 448 is the sonata used in the Mozart effect studies.
- Even
- Composite
Where 448 fits
Why 448 is special
The 1993 paper reported a brief spatial reasoning improvement, and the popular reading — that Mozart makes children cleverer — is not what it found.
Factors & digit properties
- Divisors (14)
- 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
- Prime factorisation
- 2^6 × 7
- Digit sum
- 16
- Digital root
- 7
Representations
- Decimal
- 448
- Binary
- 111000000
- Octal
- 700
- Hexadecimal
- 1c0
- Roman numeral
- CDXLVIII
- Scientific notation
- 4.480 × 10^2
Other mathematical patterns
- Abundant number
- Harshad (Niven) number
Related numbers & connections
One work's fame rests on a study whose finding does not match the popular claim.
View 525 →Other connections
- is associated with525
why?
Strength 0.50, confidence "high".
Media & popular culture
K. 448 is the sonata for two pianos used in the 1993 Rauscher study reporting a short-lived improvement in spatial-temporal task performance in adults. Broader claims about intelligence are not supported by that work.
DocumentedMedia & popular cultureGeography: AustriaPeriod: 1781
Common questions
Is 448 a prime number?
No, 448 is not prime.
What are the factors of 448?
The factors of 448 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448.
What is 448 in Roman numerals?
448 in Roman numerals is CDXLVIII.
About this page's data
Mathematical facts:computed directly from the number's value — nothing to source or verify externally.
Contextual records: 1 reviewer-confirmed record, sourced and reviewed before publication.
Last reviewed: 3 August 2026