257068220 has 48 divisors (see below), whose sum is σ = 576743328. Its totient is φ = 95907840.

The previous prime is 257068199. The next prime is 257068261. The reversal of 257068220 is 22860752.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35075 + ... + 41765.

It is an arithmetic number, because the mean of its divisors is an integer number (12015486).

Almost surely, 2^257068220 is an apocalyptic number.

257068220 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 257068220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288371664).

257068220 is an abundant number, since it is smaller than the sum of its proper divisors (319675108).

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

257068220 is a wasteful number, since it uses less digits than its factorization.

257068220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6830 (or 6828 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The square root of 257068220 is about 16033.3471240412. The cubic root of 257068220 is about 635.8423689355.

The spelling of 257068220 in words is "two hundred fifty-seven million, sixty-eight thousand, two hundred twenty".