257225280 has 112 divisors (see below), whose sum is σ = 879555264. Its totient is φ = 63313920.

The previous prime is 257225263. The next prime is 257225291. The reversal of 257225280 is 82522752.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2175 + ... + 22785.

It is an arithmetic number, because the mean of its divisors is an integer number (7853172).

Almost surely, 2^257225280 is an apocalyptic number.

257225280 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 257225280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439777632).

257225280 is an abundant number, since it is smaller than the sum of its proper divisors (622329984).

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

257225280 is a wasteful number, since it uses less digits than its factorization.

257225280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20644 (or 20634 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 33.

The square root of 257225280 is about 16038.2442929393. The cubic root of 257225280 is about 635.9718353099.

The spelling of 257225280 in words is "two hundred fifty-seven million, two hundred twenty-five thousand, two hundred eighty".