257030064 has 40 divisors (see below), whose sum is σ = 737772720. Its totient is φ = 85676544.

The previous prime is 257030063. The next prime is 257030071. The reversal of 257030064 is 460030752.

It is a happy number.

257030064 is a `hidden beast` number, since 2 + 570 + 30 + 0 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (257030063) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 297057 + ... + 297920.

It is an arithmetic number, because the mean of its divisors is an integer number (18444318).

Almost surely, 2^257030064 is an apocalyptic number.

257030064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

257030064 is an abundant number, since it is smaller than the sum of its proper divisors (480742656).

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

257030064 is a wasteful number, since it uses less digits than its factorization.

257030064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594994 (or 594982 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 257030064 is about 16032.1571848582. The cubic root of 257030064 is about 635.8109085422.

Subtracting from 257030064 its product of nonzero digits (5040), we obtain a square (257025024 = 16032²).

The spelling of 257030064 in words is "two hundred fifty-seven million, thirty thousand, sixty-four".