257488980 has 96 divisors (see below), whose sum is σ = 838010880. Its totient is φ = 57851520.

The previous prime is 257488967. The next prime is 257488993. The reversal of 257488980 is 89884752.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (257488967) and next prime (257488993).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19585 + ... + 29975.

It is an arithmetic number, because the mean of its divisors is an integer number (8729280).

Almost surely, 2^257488980 is an apocalyptic number.

257488980 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 257488980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419005440).

257488980 is an abundant number, since it is smaller than the sum of its proper divisors (580521900).

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

257488980 is a wasteful number, since it uses less digits than its factorization.

257488980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10469 (or 10467 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 51.

The square root of 257488980 is about 16046.4631617064. The cubic root of 257488980 is about 636.1890877983.

The spelling of 257488980 in words is "two hundred fifty-seven million, four hundred eighty-eight thousand, nine hundred eighty".