257961024 has 224 divisors, whose sum is σ = 816457600. Its totient is φ = 80621568.

The previous prime is 257961023. The next prime is 257961037. The reversal of 257961024 is 420169752.

257961024 is a `hidden beast` number, since 2 + 579 + 61 + 0 + 24 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 257961024.

It is not an unprimeable number, because it can be changed into a prime (257961023) 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, 2659344 + ... + 2659440.

It is an arithmetic number, because the mean of its divisors is an integer number (3644900).

Almost surely, 2^257961024 is an apocalyptic number.

257961024 is a gapful number since it is divisible by the number (24) 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 257961024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408228800).

257961024 is an abundant number, since it is smaller than the sum of its proper divisors (558496576).

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

257961024 is an frugal number, since it uses more digits than its factorization.

257961024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 257961024 is about 16061.1650884984. The cubic root of 257961024 is about 636.5776169353.

The spelling of 257961024 in words is "two hundred fifty-seven million, nine hundred sixty-one thousand, twenty-four".