257779460 has 24 divisors (see below), whose sum is σ = 569829120. Its totient is φ = 97684704.

The previous prime is 257779451. The next prime is 257779507. The reversal of 257779460 is 64977752.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 338804 + ... + 339563.

It is an arithmetic number, because the mean of its divisors is an integer number (23742880).

Almost surely, 2^257779460 is an apocalyptic number.

257779460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

257779460 is an abundant number, since it is smaller than the sum of its proper divisors (312049660).

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

257779460 is a wasteful number, since it uses less digits than its factorization.

257779460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678395 (or 678393 counting only the distinct ones).

The product of its (nonzero) digits is 740880, while the sum is 47.

The square root of 257779460 is about 16055.5118261611. The cubic root of 257779460 is about 636.4282316989.

The spelling of 257779460 in words is "two hundred fifty-seven million, seven hundred seventy-nine thousand, four hundred sixty".