479587680 has 576 divisors, whose sum is σ = 2050671168. Its totient is φ = 100270080.

The previous prime is 479587657. The next prime is 479587681. The reversal of 479587680 is 86785974.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (479587681) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3500572 + ... + 3500708.

It is an arithmetic number, because the mean of its divisors is an integer number (3560193).

Almost surely, 2^479587680 is an apocalyptic number.

479587680 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 479587680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1025335584).

479587680 is an abundant number, since it is smaller than the sum of its proper divisors (1571083488).

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

479587680 is a wasteful number, since it uses less digits than its factorization.

479587680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The square root of 479587680 is about 21899.4904050300. The cubic root of 479587680 is about 782.7492725894.

The spelling of 479587680 in words is "four hundred seventy-nine million, five hundred eighty-seven thousand, six hundred eighty".