257938020 has 120 divisors (see below), whose sum is σ = 818710200. Its totient is φ = 67972608.

The previous prime is 257937997. The next prime is 257938033. The reversal of 257938020 is 20839752.

It is a happy number.

257938020 is a `hidden beast` number, since 2 + 579 + 3 + 80 + 2 + 0 = 666.

257938020 is digitally balanced in base 3, 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 4 ways, for example, as 44836416 + 213101604 = 6696^2 + 14598^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 143286 + ... + 145074.

It is an arithmetic number, because the mean of its divisors is an integer number (6822585).

Almost surely, 2^257938020 is an apocalyptic number.

257938020 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 257938020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409355100).

257938020 is an abundant number, since it is smaller than the sum of its proper divisors (560772180).

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

257938020 is a wasteful number, since it uses less digits than its factorization.

257938020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1899 (or 1888 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 257938020 is about 16060.4489351948. The cubic root of 257938020 is about 636.5586938353.

The spelling of 257938020 in words is "two hundred fifty-seven million, nine hundred thirty-eight thousand, twenty".