257959680 has 288 divisors, whose sum is σ = 932456448. Its totient is φ = 60211200.

The previous prime is 257959661. The next prime is 257959693. The reversal of 257959680 is 86959752.

It is a happy number.

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, 1309342 + ... + 1309538.

It is an arithmetic number, because the mean of its divisors is an integer number (3237696).

Almost surely, 2^257959680 is an apocalyptic number.

257959680 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 257959680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466228224).

257959680 is an abundant number, since it is smaller than the sum of its proper divisors (674496768).

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

257959680 is a wasteful number, since it uses less digits than its factorization.

257959680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 51.

The square root of 257959680 is about 16061.1232483908. The cubic root of 257959680 is about 636.5765113913.

The spelling of 257959680 in words is "two hundred fifty-seven million, nine hundred fifty-nine thousand, six hundred eighty".