257600020 has 12 divisors (see below), whose sum is σ = 540960084. Its totient is φ = 103040000.

The previous prime is 257600017. The next prime is 257600047. The reversal of 257600020 is 20006752.

257600020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 173290896 + 84309124 = 13164^2 + 9182^2 .

It is a junction number, because it is equal to n+sod(n) for n = 257599964 and 257600000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6439981 + ... + 6440020.

It is an arithmetic number, because the mean of its divisors is an integer number (45080007).

Almost surely, 2^257600020 is an apocalyptic number.

257600020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

257600020 is an abundant number, since it is smaller than the sum of its proper divisors (283360064).

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

257600020 is a wasteful number, since it uses less digits than its factorization.

257600020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12880010 (or 12880008 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 22.

The square root of 257600020 is about 16049.9227412471. The cubic root of 257600020 is about 636.2805250890.

Adding to 257600020 its reverse (20006752), we get a palindrome (277606772).

The spelling of 257600020 in words is "two hundred fifty-seven million, six hundred thousand, twenty".