257734032 has 40 divisors (see below), whose sum is σ = 673305120. Its totient is φ = 84944640.

The previous prime is 257734013. The next prime is 257734033. The reversal of 257734032 is 230437752.

It is a junction number, because it is equal to n+sod(n) for n = 257733984 and 257734002.

It is not an unprimeable number, because it can be changed into a prime (257734033) 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, 25894 + ... + 34437.

It is an arithmetic number, because the mean of its divisors is an integer number (16832628).

Almost surely, 2^257734032 is an apocalyptic number.

It is an amenable number.

257734032 is an abundant number, since it is smaller than the sum of its proper divisors (415571088).

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

257734032 is a wasteful number, since it uses less digits than its factorization.

257734032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60431 (or 60425 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 33.

The square root of 257734032 is about 16054.0970471715. The cubic root of 257734032 is about 636.3908439771.

The spelling of 257734032 in words is "two hundred fifty-seven million, seven hundred thirty-four thousand, thirty-two".