257622880 has 48 divisors (see below), whose sum is σ = 611271360. Its totient is φ = 102602752.

The previous prime is 257622853. The next prime is 257622889. The reversal of 257622880 is 88226752.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257622889) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 34872 + ... + 41608.

It is an arithmetic number, because the mean of its divisors is an integer number (12734820).

Almost surely, 2^257622880 is an apocalyptic number.

257622880 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 257622880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305635680).

257622880 is an abundant number, since it is smaller than the sum of its proper divisors (353648480).

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

257622880 is a wasteful number, since it uses less digits than its factorization.

257622880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6991 (or 6983 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 40.

The square root of 257622880 is about 16050.6348784090. The cubic root of 257622880 is about 636.2993461829.

The spelling of 257622880 in words is "two hundred fifty-seven million, six hundred twenty-two thousand, eight hundred eighty".