257152000 has 264 divisors, whose sum is σ = 764480808. Its totient is φ = 86016000.

The previous prime is 257151977. The next prime is 257152001. The reversal of 257152000 is 251752.

It can be written as a sum of positive squares in 4 ways, for example, as 58003456 + 199148544 = 7616^2 + 14112^2 .

It is a super-2 number, since 2×257152000² = 132254302208000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257152001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6271980 + ... + 6272020.

Almost surely, 2^257152000 is an apocalyptic number.

257152000 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 257152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382240404).

257152000 is an abundant number, since it is smaller than the sum of its proper divisors (507328808).

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

257152000 is an equidigital number, since it uses as much as digits as its factorization.

257152000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 700, while the sum is 22.

The square root of 257152000 is about 16035.9595908695. The cubic root of 257152000 is about 635.9114363185.

The spelling of 257152000 in words is "two hundred fifty-seven million, one hundred fifty-two thousand".