480053408928 has 48 divisors (see below), whose sum is σ = 1271291910336. Its totient is φ = 158601712640.

The previous prime is 480053408911. The next prime is 480053408953. The reversal of 480053408928 is 829804350084.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22115508 + ... + 22137203.

It is an arithmetic number, because the mean of its divisors is an integer number (26485248132).

Almost surely, 2^480053408928 is an apocalyptic number.

480053408928 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

480053408928 is an abundant number, since it is smaller than the sum of its proper divisors (791238501408).

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

480053408928 is a wasteful number, since it uses less digits than its factorization.

480053408928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44252837 (or 44252829 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 51.

The spelling of 480053408928 in words is "four hundred eighty billion, fifty-three million, four hundred eight thousand, nine hundred twenty-eight".