257645000 has 60 divisors (see below), whose sum is σ = 606333255. Its totient is φ = 102604000.

The previous prime is 257644987. The next prime is 257645033. The reversal of 257645000 is 546752.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 3 ways, for example, as 59567524 + 198077476 = 7718^2 + 14074^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=11350.

It is a super-3 number, since 3×257645000³ (a number of 26 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1134887 + ... + 1135113.

Almost surely, 2^257645000 is an apocalyptic number.

257645000 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 257645000

257645000 is an abundant number, since it is smaller than the sum of its proper divisors (348688255).

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

257645000 is an frugal number, since it uses more digits than its factorization.

257645000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 29.

The square root of 257645000 is about 16051.3239329346. The cubic root of 257645000 is about 636.3175569603.

The spelling of 257645000 in words is "two hundred fifty-seven million, six hundred forty-five thousand".