257864742 has 32 divisors (see below), whose sum is σ = 574104960. Its totient is φ = 85794120.

The previous prime is 257864731. The next prime is 257864743. The reversal of 257864742 is 247468752.

It is a happy number.

257864742 is a `hidden beast` number, since 2 + 578 + 6 + 4 + 74 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257864743) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26653 + ... + 35015.

It is an arithmetic number, because the mean of its divisors is an integer number (17940780).

Almost surely, 2^257864742 is an apocalyptic number.

257864742 is an abundant number, since it is smaller than the sum of its proper divisors (316240218).

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

257864742 is a wasteful number, since it uses less digits than its factorization.

257864742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8945 (or 8939 counting only the distinct ones).

The product of its digits is 752640, while the sum is 45.

The square root of 257864742 is about 16058.1674546008. The cubic root of 257864742 is about 636.4984078205.

The spelling of 257864742 in words is "two hundred fifty-seven million, eight hundred sixty-four thousand, seven hundred forty-two".