479020608 has 336 divisors, whose sum is σ = 1621536000. Its totient is φ = 138378240.

The previous prime is 479020603. The next prime is 479020643. The reversal of 479020608 is 806020974.

479020608 is a `hidden beast` number, since 47 + 9 + 0 + 2 + 0 + 608 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (479020601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6063513 + ... + 6063591.

It is an arithmetic number, because the mean of its divisors is an integer number (4826000).

Almost surely, 2^479020608 is an apocalyptic number.

479020608 is a gapful number since it is divisible by the number (48) 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 479020608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (810768000).

479020608 is an abundant number, since it is smaller than the sum of its proper divisors (1142515392).

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

479020608 is a wasteful number, since it uses less digits than its factorization.

479020608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 479020608 is about 21886.5394249525. The cubic root of 479020608 is about 782.4406392380.

The spelling of 479020608 in words is "four hundred seventy-nine million, twenty thousand, six hundred eight".