257288472 has 96 divisors (see below), whose sum is σ = 843242400. Its totient is φ = 69184512.

The previous prime is 257288461. The next prime is 257288477. The reversal of 257288472 is 274882752.

257288472 is a `hidden beast` number, since 2 + 572 + 8 + 8 + 4 + 72 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257288477) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6447 + ... + 23582.

It is an arithmetic number, because the mean of its divisors is an integer number (8783775).

Almost surely, 2^257288472 is an apocalyptic number.

It is an amenable number.

257288472 is an abundant number, since it is smaller than the sum of its proper divisors (585953928).

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

257288472 is a wasteful number, since it uses less digits than its factorization.

257288472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30065 (or 30058 counting only the distinct ones).

The product of its digits is 501760, while the sum is 45.

The square root of 257288472 is about 16040.2142130334. The cubic root of 257288472 is about 636.0239103388.

The spelling of 257288472 in words is "two hundred fifty-seven million, two hundred eighty-eight thousand, four hundred seventy-two".