257933220 has 24 divisors (see below), whose sum is σ = 722213184. Its totient is φ = 68782176.

The previous prime is 257933213. The next prime is 257933233. The reversal of 257933220 is 22339752.

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, 2149384 + ... + 2149503.

It is an arithmetic number, because the mean of its divisors is an integer number (30092216).

Almost surely, 2^257933220 is an apocalyptic number.

257933220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

257933220 is an abundant number, since it is smaller than the sum of its proper divisors (464279964).

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

257933220 is a wasteful number, since it uses less digits than its factorization.

257933220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4298899 (or 4298897 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 33.

The square root of 257933220 is about 16060.2994990754. The cubic root of 257933220 is about 636.5547452114.

The spelling of 257933220 in words is "two hundred fifty-seven million, nine hundred thirty-three thousand, two hundred twenty".