657480560 has 80 divisors (see below), whose sum is σ = 1755423360. Its totient is φ = 226494720.

The previous prime is 657480557. The next prime is 657480563. The reversal of 657480560 is 65084756.

It is an interprime number because it is at equal distance from previous prime (657480557) and next prime (657480563).

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (657480563) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2942 + ... + 36381.

It is an arithmetic number, because the mean of its divisors is an integer number (21942792).

Almost surely, 2^657480560 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 657480560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (877711680).

657480560 is an abundant number, since it is smaller than the sum of its proper divisors (1097942800).

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

657480560 is a wasteful number, since it uses less digits than its factorization.

657480560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39366 (or 39360 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 41.

The square root of 657480560 is about 25641.3837380123. The cubic root of 657480560 is about 869.5494915098.

The spelling of 657480560 in words is "six hundred fifty-seven million, four hundred eighty thousand, five hundred sixty".