257649795 has 96 divisors (see below), whose sum is σ = 518607360. Its totient is φ = 121080960.

The previous prime is 257649793. The next prime is 257649809. The reversal of 257649795 is 597946752.

It is not a de Polignac number, because 257649795 - 2¹ = 257649793 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257649793) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 524500 + ... + 524990.

It is an arithmetic number, because the mean of its divisors is an integer number (5402160).

Almost surely, 2^257649795 is an apocalyptic number.

257649795 is an abundant number, since it is smaller than the sum of its proper divisors (260957565).

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

257649795 is a wasteful number, since it uses less digits than its factorization.

257649795 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 554 (or 535 counting only the distinct ones).

The product of its digits is 4762800, while the sum is 54.

The square root of 257649795 is about 16051.4732968659. The cubic root of 257649795 is about 636.3215044122.

The spelling of 257649795 in words is "two hundred fifty-seven million, six hundred forty-nine thousand, seven hundred ninety-five".