657368480 has 96 divisors (see below), whose sum is σ = 1588688640. Its totient is φ = 256988160.

The previous prime is 657368473. The next prime is 657368483. The reversal of 657368480 is 84863756.

It is a hoax number, since the sum of its digits (47) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (657368483) 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, 1655642 + ... + 1656038.

It is an arithmetic number, because the mean of its divisors is an integer number (16548840).

Almost surely, 2^657368480 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 657368480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (794344320).

657368480 is an abundant number, since it is smaller than the sum of its proper divisors (931320160).

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

657368480 is a wasteful number, since it uses less digits than its factorization.

657368480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 622 (or 614 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 47.

The square root of 657368480 is about 25639.1981153857. The cubic root of 657368480 is about 869.5000783148.

The spelling of 657368480 in words is "six hundred fifty-seven million, three hundred sixty-eight thousand, four hundred eighty".