480586880 has 32 divisors (see below), whose sum is σ = 1148904540. Its totient is φ = 192234496.

The previous prime is 480586829. The next prime is 480586903. The reversal of 480586880 is 88685084.

It can be written as a sum of positive squares in 2 ways, for example, as 442345024 + 38241856 = 21032^2 + 6184^2 .

It is a tau number, because it is divible by the number of its divisors (32).

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 3 ways as a sum of consecutive naturals, for example, 374819 + ... + 376098.

Almost surely, 2^480586880 is an apocalyptic number.

480586880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

480586880 is an abundant number, since it is smaller than the sum of its proper divisors (668317660).

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

480586880 is an equidigital number, since it uses as much as digits as its factorization.

480586880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 750936 (or 750924 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 47.

The square root of 480586880 is about 21922.2918509904. The cubic root of 480586880 is about 783.2925034802.

The spelling of 480586880 in words is "four hundred eighty million, five hundred eighty-six thousand, eight hundred eighty".