257487360 has 160 divisors (see below), whose sum is σ = 886818240. Its totient is φ = 63356928.

The previous prime is 257487359. The next prime is 257487361. The reversal of 257487360 is 63784752.

It is an interprime number because it is at equal distance from previous prime (257487359) and next prime (257487361).

It is a tau number, because it is divible by the number of its divisors (160).

It is not an unprimeable number, because it can be changed into a prime (257487361) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 98551 + ... + 101129.

It is an arithmetic number, because the mean of its divisors is an integer number (5542614).

Almost surely, 2^257487360 is an apocalyptic number.

257487360 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 257487360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443409120).

257487360 is an abundant number, since it is smaller than the sum of its proper divisors (629330880).

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

257487360 is a wasteful number, since it uses less digits than its factorization.

257487360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2618 (or 2602 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 42.

The square root of 257487360 is about 16046.4126832137. The cubic root of 257487360 is about 636.1877535943.

The spelling of 257487360 in words is "two hundred fifty-seven million, four hundred eighty-seven thousand, three hundred sixty".