479486304 has 240 divisors, whose sum is σ = 1567532736. Its totient is φ = 142560000.

The previous prime is 479486303. The next prime is 479486311. The reversal of 479486304 is 403684974.

479486304 is a `hidden beast` number, since 4 + 7 + 9 + 4 + 8 + 630 + 4 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 479486304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (479486303) 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 39 ways as a sum of consecutive naturals, for example, 1910179 + ... + 1910429.

Almost surely, 2^479486304 is an apocalyptic number.

479486304 is a gapful number since it is divisible by the number (44) 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 479486304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (783766368).

479486304 is an abundant number, since it is smaller than the sum of its proper divisors (1088046432).

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

479486304 is a wasteful number, since it uses less digits than its factorization.

479486304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 479486304 is about 21897.1757082963. The cubic root of 479486304 is about 782.6941157777.

The spelling of 479486304 in words is "four hundred seventy-nine million, four hundred eighty-six thousand, three hundred four".