480586304 has 168 divisors, whose sum is σ = 1151997696. Its totient is φ = 196992000.

The previous prime is 480586283. The next prime is 480586321. The reversal of 480586304 is 403685084.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (38).

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 23 ways as a sum of consecutive naturals, for example, 7878434 + ... + 7878494.

Almost surely, 2^480586304 is an apocalyptic number.

480586304 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 480586304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575998848).

480586304 is an abundant number, since it is smaller than the sum of its proper divisors (671411392).

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

480586304 is a wasteful number, since it uses less digits than its factorization.

480586304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 38.

The square root of 480586304 is about 21922.2787136739. The cubic root of 480586304 is about 783.2921905457.

The spelling of 480586304 in words is "four hundred eighty million, five hundred eighty-six thousand, three hundred four".