257159680 has 160 divisors (see below), whose sum is σ = 689420160. Its totient is φ = 91422720.

The previous prime is 257159677. The next prime is 257159719. The reversal of 257159680 is 86951752.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×257159680² = 132262202035404800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 826725 + ... + 827035.

It is an arithmetic number, because the mean of its divisors is an integer number (4308876).

Almost surely, 2^257159680 is an apocalyptic number.

257159680 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 257159680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344710080).

257159680 is an abundant number, since it is smaller than the sum of its proper divisors (432260480).

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

257159680 is a wasteful number, since it uses less digits than its factorization.

257159680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 43.

The square root of 257159680 is about 16036.1990508973. The cubic root of 257159680 is about 635.9177668820.

The spelling of 257159680 in words is "two hundred fifty-seven million, one hundred fifty-nine thousand, six hundred eighty".