448474560 has 224 divisors, whose sum is σ = 1497787200. Its totient is φ = 113541120.

The previous prime is 448474549. The next prime is 448474561. The reversal of 448474560 is 65474844.

It is a super-2 number, since 2×448474560² = 402258861934387200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (448474561) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2477670 + ... + 2477850.

It is an arithmetic number, because the mean of its divisors is an integer number (6686550).

Almost surely, 2^448474560 is an apocalyptic number.

448474560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 448474560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (748893600).

448474560 is an abundant number, since it is smaller than the sum of its proper divisors (1049312640).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

448474560 is a wasteful number, since it uses less digits than its factorization.

448474560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 42.

The square root of 448474560 is about 21177.2179475964. The cubic root of 448474560 is about 765.4425565228.

The spelling of 448474560 in words is "four hundred forty-eight million, four hundred seventy-four thousand, five hundred sixty".