257114320 has 40 divisors (see below), whose sum is σ = 598477320. Its totient is φ = 102727680.

The previous prime is 257114303. The next prime is 257114357. The reversal of 257114320 is 23411752.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 345744 + 256768576 = 588^2 + 16024^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×257114320² = 132215547098124800, which contains 22 as substring.

It is a congruent number.

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, 111580 + ... + 113860.

It is an arithmetic number, because the mean of its divisors is an integer number (14961933).

Almost surely, 2^257114320 is an apocalyptic number.

257114320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

257114320 is an abundant number, since it is smaller than the sum of its proper divisors (341363000).

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

257114320 is a wasteful number, since it uses less digits than its factorization.

257114320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3703 (or 3697 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 25.

The square root of 257114320 is about 16034.7846882956. The cubic root of 257114320 is about 635.8803751648.

The spelling of 257114320 in words is "two hundred fifty-seven million, one hundred fourteen thousand, three hundred twenty".