257164040 has 32 divisors (see below), whose sum is σ = 661279680. Its totient is φ = 88170432.

The previous prime is 257164001. The next prime is 257164043. The reversal of 257164040 is 40461752.

It is a super-2 number, since 2×257164040² = 132266686938243200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 257163994 and 257164012.

It is not an unprimeable number, because it can be changed into a prime (257164043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 458942 + ... + 459501.

It is an arithmetic number, because the mean of its divisors is an integer number (20664990).

Almost surely, 2^257164040 is an apocalyptic number.

257164040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

257164040 is an abundant number, since it is smaller than the sum of its proper divisors (404115640).

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

257164040 is a wasteful number, since it uses less digits than its factorization.

257164040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 918461 (or 918457 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 29.

The square root of 257164040 is about 16036.3349927594. The cubic root of 257164040 is about 635.9213607396.

The spelling of 257164040 in words is "two hundred fifty-seven million, one hundred sixty-four thousand, forty".