480060960 has 96 divisors (see below), whose sum is σ = 1601171712. Its totient is φ = 120483840.

The previous prime is 480060953. The next prime is 480061007. The reversal of 480060960 is 69060084.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×480060960² = 460917050632243200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21256 + ... + 37575.

It is an arithmetic number, because the mean of its divisors is an integer number (16678872).

Almost surely, 2^480060960 is an apocalyptic number.

480060960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

480060960 is an abundant number, since it is smaller than the sum of its proper divisors (1121110752).

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

480060960 is a wasteful number, since it uses less digits than its factorization.

480060960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58866 (or 58858 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 480060960 is about 21910.2934713344. The cubic root of 480060960 is about 783.0066727101.

The spelling of 480060960 in words is "four hundred eighty million, sixty thousand, nine hundred sixty".