1657157472 has 72 divisors (see below), whose sum is σ = 4717846224. Its totient is φ = 551764224.

The previous prime is 1657157459. The next prime is 1657157479. The reversal of 1657157472 is 2747517561.

1657157472 is a `hidden beast` number, since 1 + 6 + 5 + 7 + 1 + 574 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1657157479) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 303438 + ... + 308850.

It is an arithmetic number, because the mean of its divisors is an integer number (65525642).

Almost surely, 2^1657157472 is an apocalyptic number.

1657157472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1657157472 is an abundant number, since it is smaller than the sum of its proper divisors (3060688752).

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

1657157472 is a wasteful number, since it uses less digits than its factorization.

1657157472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6492 (or 6481 counting only the distinct ones).

The product of its digits is 411600, while the sum is 45.

The square root of 1657157472 is about 40708.1990758619. The cubic root of 1657157472 is about 1183.3719200448.

The spelling of 1657157472 in words is "one billion, six hundred fifty-seven million, one hundred fifty-seven thousand, four hundred seventy-two".