257244560 has 40 divisors (see below), whose sum is σ = 603919680. Its totient is φ = 101895552.

The previous prime is 257244551. The next prime is 257244577. The reversal of 257244560 is 65442752.

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 257244560.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7370 + ... + 23849.

It is an arithmetic number, because the mean of its divisors is an integer number (15097992).

Almost surely, 2^257244560 is an apocalyptic number.

257244560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

257244560 is an abundant number, since it is smaller than the sum of its proper divisors (346675120).

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

257244560 is a wasteful number, since it uses less digits than its factorization.

257244560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31335 (or 31329 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 35.

The square root of 257244560 is about 16038.8453449742. The cubic root of 257244560 is about 635.9877244048.

The spelling of 257244560 in words is "two hundred fifty-seven million, two hundred forty-four thousand, five hundred sixty".