257965020 has 96 divisors (see below), whose sum is σ = 812851200. Its totient is φ = 67908672.

The previous prime is 257965003. The next prime is 257965027. The reversal of 257965020 is 20569752.

257965020 is a `hidden beast` number, since 2 + 579 + 65 + 0 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257965027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39637 + ... + 45683.

It is an arithmetic number, because the mean of its divisors is an integer number (8467200).

Almost surely, 2^257965020 is an apocalyptic number.

257965020 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 257965020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406425600).

257965020 is an abundant number, since it is smaller than the sum of its proper divisors (554886180).

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

257965020 is a wasteful number, since it uses less digits than its factorization.

257965020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6144 (or 6136 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 257965020 is about 16061.2894874602. The cubic root of 257965020 is about 636.5809039319.

The spelling of 257965020 in words is "two hundred fifty-seven million, nine hundred sixty-five thousand, twenty".