257662240 has 72 divisors (see below), whose sum is σ = 669146940. Its totient is φ = 93688320.

The previous prime is 257662219. The next prime is 257662241. The reversal of 257662240 is 42266752.

It can be written as a sum of positive squares in 2 ways, for example, as 214681104 + 42981136 = 14652^2 + 6556^2 .

It is a junction number, because it is equal to n+sod(n) for n = 257662196 and 257662205.

It is not an unprimeable number, because it can be changed into a prime (257662241) 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, 12706 + ... + 26014.

Almost surely, 2^257662240 is an apocalyptic number.

257662240 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 257662240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334573470).

257662240 is an abundant number, since it is smaller than the sum of its proper divisors (411484700).

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

257662240 is a wasteful number, since it uses less digits than its factorization.

257662240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13346 (or 13327 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 34.

The square root of 257662240 is about 16051.8609513041. The cubic root of 257662240 is about 636.3317494474.

The spelling of 257662240 in words is "two hundred fifty-seven million, six hundred sixty-two thousand, two hundred forty".