657228960 has 72 divisors (see below), whose sum is σ = 2242798740. Its totient is φ = 175260672.

The previous prime is 657228953. The next prime is 657228961. The reversal of 657228960 is 69822756.

It can be written as a sum of positive squares in 2 ways, for example, as 606932496 + 50296464 = 24636^2 + 7092^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (657228961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 226765 + ... + 229644.

Almost surely, 2^657228960 is an apocalyptic number.

657228960 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

657228960 is an abundant number, since it is smaller than the sum of its proper divisors (1585569780).

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

657228960 is a wasteful number, since it uses less digits than its factorization.

657228960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456430 (or 456419 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 657228960 is about 25636.4771370795. The cubic root of 657228960 is about 869.4385596799.

The spelling of 657228960 in words is "six hundred fifty-seven million, two hundred twenty-eight thousand, nine hundred sixty".