257829240 has 64 divisors (see below), whose sum is σ = 814204800. Its totient is φ = 65135232.

The previous prime is 257829223. The next prime is 257829269. The reversal of 257829240 is 42928752.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54262 + ... + 58821.

It is an arithmetic number, because the mean of its divisors is an integer number (12721950).

Almost surely, 2^257829240 is an apocalyptic number.

257829240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

257829240 is an abundant number, since it is smaller than the sum of its proper divisors (556375560).

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

257829240 is a wasteful number, since it uses less digits than its factorization.

257829240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113116 (or 113112 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 257829240 is about 16057.0619977629. The cubic root of 257829240 is about 636.4691961190.

The spelling of 257829240 in words is "two hundred fifty-seven million, eight hundred twenty-nine thousand, two hundred forty".