480084004480 has 32 divisors (see below), whose sum is σ = 1147700824740. Its totient is φ = 192033601536.

The previous prime is 480084004423. The next prime is 480084004493. The reversal of 480084004480 is 84400480084.

It can be written as a sum of positive squares in 2 ways, for example, as 479827748416 + 256256064 = 692696^2 + 16008^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 375064989 + ... + 375066268.

Almost surely, 2^480084004480 is an apocalyptic number.

480084004480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

480084004480 is an abundant number, since it is smaller than the sum of its proper divisors (667616820260).

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

480084004480 is an equidigital number, since it uses as much as digits as its factorization.

480084004480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 750131276 (or 750131264 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 40.

The spelling of 480084004480 in words is "four hundred eighty billion, eighty-four million, four thousand, four hundred eighty".