479255040 has 480 divisors, whose sum is σ = 1899735552. Its totient is φ = 110592000.

The previous prime is 479255017. The next prime is 479255057. The reversal of 479255040 is 40552974.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 479254986 and 479255004.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7856610 + ... + 7856670.

Almost surely, 2^479255040 is an apocalyptic number.

479255040 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 479255040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (949867776).

479255040 is an abundant number, since it is smaller than the sum of its proper divisors (1420480512).

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

479255040 is a wasteful number, since it uses less digits than its factorization.

479255040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 479255040 is about 21891.8943903902. The cubic root of 479255040 is about 782.5682601975.

The spelling of 479255040 in words is "four hundred seventy-nine million, two hundred fifty-five thousand, forty".