257218620 has 48 divisors (see below), whose sum is σ = 722406048. Its totient is φ = 68382720.

The previous prime is 257218613. The next prime is 257218651. The reversal of 257218620 is 26812752.

257218620 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×257218620² = 132322836949408800, which contains 22 as substring.

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, 13860 + ... + 26580.

It is an arithmetic number, because the mean of its divisors is an integer number (15050126).

Almost surely, 2^257218620 is an apocalyptic number.

257218620 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

257218620 is an abundant number, since it is smaller than the sum of its proper divisors (465187428).

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

257218620 is a wasteful number, since it uses less digits than its factorization.

257218620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13070 (or 13068 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 257218620 is about 16038.0366628836. The cubic root of 257218620 is about 635.9663464650.

The spelling of 257218620 in words is "two hundred fifty-seven million, two hundred eighteen thousand, six hundred twenty".