257546240 has 96 divisors (see below), whose sum is σ = 706436640. Its totient is φ = 88276992.

The previous prime is 257546213. The next prime is 257546251. The reversal of 257546240 is 42645752.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 257546240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 69884 + ... + 73476.

It is an arithmetic number, because the mean of its divisors is an integer number (7358715).

Almost surely, 2^257546240 is an apocalyptic number.

257546240 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 257546240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353218320).

257546240 is an abundant number, since it is smaller than the sum of its proper divisors (448890400).

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

257546240 is an equidigital number, since it uses as much as digits as its factorization.

257546240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3627 (or 3607 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 35.

The square root of 257546240 is about 16048.2472563205. The cubic root of 257546240 is about 636.2362425506.

The spelling of 257546240 in words is "two hundred fifty-seven million, five hundred forty-six thousand, two hundred forty".