479500560 has 600 divisors, whose sum is σ = 2145451968. Its totient is φ = 96422400.

The previous prime is 479500531. The next prime is 479500579. The reversal of 479500560 is 65005974.

479500560 is a `hidden beast` number, since 4 + 7 + 95 + 0 + 0 + 560 = 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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 15467745 + ... + 15467775.

Almost surely, 2^479500560 is an apocalyptic number.

479500560 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 479500560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1072725984).

479500560 is an abundant number, since it is smaller than the sum of its proper divisors (1665951408).

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

479500560 is a wasteful number, since it uses less digits than its factorization.

479500560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 59 counting only the distinct ones).

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

The square root of 479500560 is about 21897.5012273090. The cubic root of 479500560 is about 782.7018726741.

The spelling of 479500560 in words is "four hundred seventy-nine million, five hundred thousand, five hundred sixty".