257359890 has 32 divisors (see below), whose sum is σ = 622117440. Its totient is φ = 68134464.

The previous prime is 257359871. The next prime is 257359913. The reversal of 257359890 is 98953752.

It is a happy number.

It is a super-2 number, since 2×257359890² = 132468225961624200, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 26689 + ... + 35028.

It is an arithmetic number, because the mean of its divisors is an integer number (19441170).

Almost surely, 2^257359890 is an apocalyptic number.

257359890 is an abundant number, since it is smaller than the sum of its proper divisors (364757550).

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

257359890 is a wasteful number, since it uses less digits than its factorization.

257359890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61866.

The product of its (nonzero) digits is 680400, while the sum is 48.

The square root of 257359890 is about 16042.4402757187. The cubic root of 257359890 is about 636.0827539564.

The spelling of 257359890 in words is "two hundred fifty-seven million, three hundred fifty-nine thousand, eight hundred ninety".