257736960 has 216 divisors, whose sum is σ = 960896664. Its totient is φ = 63406080.

The previous prime is 257736953. The next prime is 257736977. The reversal of 257736960 is 69637752.

It can be written as a sum of positive squares in 4 ways, for example, as 15872256 + 241864704 = 3984^2 + 15552^2 .

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

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 148900 + ... + 150620.

Almost surely, 2^257736960 is an apocalyptic number.

257736960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 257736960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480448332).

257736960 is an abundant number, since it is smaller than the sum of its proper divisors (703159704).

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

257736960 is a wasteful number, since it uses less digits than its factorization.

257736960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1761 (or 1744 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 45.

The square root of 257736960 is about 16054.1882385875. The cubic root of 257736960 is about 636.3932538844.

The spelling of 257736960 in words is "two hundred fifty-seven million, seven hundred thirty-six thousand, nine hundred sixty".