657497952 has 48 divisors (see below), whose sum is σ = 1917704880. Its totient is φ = 219165696.

The previous prime is 657497927. The next prime is 657497957. The reversal of 657497952 is 259794756.

657497952 is a `hidden beast` number, since 65 + 7 + 497 + 95 + 2 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (657497957) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 379633 + ... + 381360.

It is an arithmetic number, because the mean of its divisors is an integer number (39952185).

Almost surely, 2^657497952 is an apocalyptic number.

It is an amenable number.

657497952 is an abundant number, since it is smaller than the sum of its proper divisors (1260206928).

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

657497952 is a wasteful number, since it uses less digits than its factorization.

657497952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 761012 (or 760998 counting only the distinct ones).

The product of its digits is 4762800, while the sum is 54.

The square root of 657497952 is about 25641.7228750332. The cubic root of 657497952 is about 869.5571586929.

The spelling of 657497952 in words is "six hundred fifty-seven million, four hundred ninety-seven thousand, nine hundred fifty-two".