257853960 has 384 divisors, whose sum is σ = 1094446080. Its totient is φ = 51093504.

The previous prime is 257853949. The next prime is 257853991. The reversal of 257853960 is 69358752.

257853960 = T₄₅₁ + T₄₅₂ + ... + T₁₁₇₈.

It is a happy number.

257853960 is a `hidden beast` number, since 2 + 57 + 8 + 539 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 95 ways as a sum of consecutive naturals, for example, 556689 + ... + 557151.

It is an arithmetic number, because the mean of its divisors is an integer number (2850120).

Almost surely, 2^257853960 is an apocalyptic number.

257853960 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 257853960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547223040).

257853960 is an abundant number, since it is smaller than the sum of its proper divisors (836592120).

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

257853960 is a wasteful number, since it uses less digits than its factorization.

257853960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The square root of 257853960 is about 16057.8317340792. The cubic root of 257853960 is about 636.4895364752.

The spelling of 257853960 in words is "two hundred fifty-seven million, eight hundred fifty-three thousand, nine hundred sixty".