257956340 has 12 divisors (see below), whose sum is σ = 541708356. Its totient is φ = 103182528.

The previous prime is 257956291. The next prime is 257956411. The reversal of 257956340 is 43659752.

257956340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 58186384 + 199769956 = 7628^2 + 14134^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6448889 + ... + 6448928.

It is an arithmetic number, because the mean of its divisors is an integer number (45142363).

Almost surely, 2^257956340 is an apocalyptic number.

257956340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

257956340 is an abundant number, since it is smaller than the sum of its proper divisors (283752016).

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

257956340 is a wasteful number, since it uses less digits than its factorization.

257956340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12897826 (or 12897824 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 41.

The square root of 257956340 is about 16061.0192702705. The cubic root of 257956340 is about 636.5737639662.

The spelling of 257956340 in words is "two hundred fifty-seven million, nine hundred fifty-six thousand, three hundred forty".