257072946 has 32 divisors (see below), whose sum is σ = 586268928. Its totient is φ = 74446080.

The previous prime is 257072923. The next prime is 257072951. The reversal of 257072946 is 649270752.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 257072898 and 257072907.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95610 + ... + 98261.

It is an arithmetic number, because the mean of its divisors is an integer number (18320904).

Almost surely, 2^257072946 is an apocalyptic number.

257072946 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

257072946 is an abundant number, since it is smaller than the sum of its proper divisors (329195982).

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

257072946 is a wasteful number, since it uses less digits than its factorization.

257072946 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193906.

The product of its (nonzero) digits is 211680, while the sum is 42.

The square root of 257072946 is about 16033.4945036944. The cubic root of 257072946 is about 635.8462654013.

The spelling of 257072946 in words is "two hundred fifty-seven million, seventy-two thousand, nine hundred forty-six".