257955840 has 240 divisors, whose sum is σ = 927566640. Its totient is φ = 68567040.

The previous prime is 257955827. The next prime is 257955869. The reversal of 257955840 is 48559752.

257955840 is a `hidden beast` number, since 2 + 57 + 9 + 558 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 829285 + ... + 829595.

It is an arithmetic number, because the mean of its divisors is an integer number (3864861).

Almost surely, 2^257955840 is an apocalyptic number.

257955840 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 257955840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463783320).

257955840 is an abundant number, since it is smaller than the sum of its proper divisors (669610800).

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

257955840 is an equidigital number, since it uses as much as digits as its factorization.

257955840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

The square root of 257955840 is about 16061.0037046257. The cubic root of 257955840 is about 636.5733526730.

The spelling of 257955840 in words is "two hundred fifty-seven million, nine hundred fifty-five thousand, eight hundred forty".