257118720 has 80 divisors (see below), whose sum is σ = 822000960. Its totient is φ = 68562944.

The previous prime is 257118713. The next prime is 257118733. The reversal of 257118720 is 27811752.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×257118720² = 132220072348876800, which contains 22 as substring.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 9060 + ... + 24419.

It is an arithmetic number, because the mean of its divisors is an integer number (10275012).

Almost surely, 2^257118720 is an apocalyptic number.

257118720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

257118720 is an abundant number, since it is smaller than the sum of its proper divisors (564882240).

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

257118720 is an equidigital number, since it uses as much as digits as its factorization.

257118720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33505 (or 33489 counting only the distinct ones).

The product of its (nonzero) digits is 7840, while the sum is 33.

The square root of 257118720 is about 16034.9218894262. The cubic root of 257118720 is about 635.8840024200.

The spelling of 257118720 in words is "two hundred fifty-seven million, one hundred eighteen thousand, seven hundred twenty".