257240880 has 160 divisors (see below), whose sum is σ = 954313920. Its totient is φ = 63313920.

The previous prime is 257240873. The next prime is 257240887. The reversal of 257240880 is 88042752.

It is a happy number.

257240880 is a `hidden beast` number, since 2 + 572 + 4 + 0 + 8 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (257240873) and next prime (257240887).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (257240887) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23500 + ... + 32660.

It is an arithmetic number, because the mean of its divisors is an integer number (5964462).

Almost surely, 2^257240880 is an apocalyptic number.

257240880 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 257240880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477156960).

257240880 is an abundant number, since it is smaller than the sum of its proper divisors (697073040).

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

257240880 is a wasteful number, since it uses less digits than its factorization.

257240880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9196 (or 9184 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 257240880 is about 16038.7306230886. The cubic root of 257240880 is about 635.9846916928.

The spelling of 257240880 in words is "two hundred fifty-seven million, two hundred forty thousand, eight hundred eighty".