479962560 has 448 divisors, whose sum is σ = 1956962304. Its totient is φ = 96768000.

The previous prime is 479962531. The next prime is 479962573. The reversal of 479962560 is 65269974.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3178485 + ... + 3178635.

Almost surely, 2^479962560 is an apocalyptic number.

479962560 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 479962560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (978481152).

479962560 is an abundant number, since it is smaller than the sum of its proper divisors (1476999744).

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

479962560 is a wasteful number, since it uses less digits than its factorization.

479962560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 48.

The square root of 479962560 is about 21908.0478363546. The cubic root of 479962560 is about 782.9531703927.

The spelling of 479962560 in words is "four hundred seventy-nine million, nine hundred sixty-two thousand, five hundred sixty".