479135520 has 192 divisors, whose sum is σ = 1688480640. Its totient is φ = 126895104.

The previous prime is 479135509. The next prime is 479135539. The reversal of 479135520 is 25531974.

479135520 is a `hidden beast` number, since 47 + 91 + 3 + 5 + 520 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 850759 + ... + 851321.

It is an arithmetic number, because the mean of its divisors is an integer number (8794170).

Almost surely, 2^479135520 is an apocalyptic number.

479135520 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 479135520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (844240320).

479135520 is an abundant number, since it is smaller than the sum of its proper divisors (1209345120).

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

479135520 is a wasteful number, since it uses less digits than its factorization.

479135520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 784 (or 770 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 479135520 is about 21889.1644427100. The cubic root of 479135520 is about 782.5032006592.

The spelling of 479135520 in words is "four hundred seventy-nine million, one hundred thirty-five thousand, five hundred twenty".