257936490 has 144 divisors (see below), whose sum is σ = 814364928. Its totient is φ = 56371392.

The previous prime is 257936479. The next prime is 257936491. The reversal of 257936490 is 94639752.

It is a happy number.

257936490 is a `hidden beast` number, since 2 + 579 + 36 + 49 + 0 = 666.

257936490 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (257936491) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 100159 + ... + 102701.

It is an arithmetic number, because the mean of its divisors is an integer number (5655312).

Almost surely, 2^257936490 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 257936490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407182464).

257936490 is an abundant number, since it is smaller than the sum of its proper divisors (556428438).

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

257936490 is a wasteful number, since it uses less digits than its factorization.

257936490 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2593 (or 2583 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The square root of 257936490 is about 16060.4013025827. The cubic root of 257936490 is about 636.5574352167.

The spelling of 257936490 in words is "two hundred fifty-seven million, nine hundred thirty-six thousand, four hundred ninety".