657468480 has 112 divisors (see below), whose sum is σ = 2103120000. Its totient is φ = 174010368.

The previous prime is 657468473. The next prime is 657468509. The reversal of 657468480 is 84864756.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 129021 + ... + 134019.

Almost surely, 2^657468480 is an apocalyptic number.

657468480 is a gapful number since it is divisible by the number (60) 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 657468480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1051560000).

657468480 is an abundant number, since it is smaller than the sum of its proper divisors (1445651520).

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

657468480 is a wasteful number, since it uses less digits than its factorization.

657468480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5156 (or 5146 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 48.

The square root of 657468480 is about 25641.1481802200. The cubic root of 657468480 is about 869.5441660179.

The spelling of 657468480 in words is "six hundred fifty-seven million, four hundred sixty-eight thousand, four hundred eighty".