257871040 has 224 divisors, whose sum is σ = 757854720. Its totient is φ = 81616896.

The previous prime is 257870971. The next prime is 257871137. The reversal of 257871040 is 40178752.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a junction number, because it is equal to n+sod(n) for n = 257870987 and 257871005.

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, 3106839 + ... + 3106921.

It is an arithmetic number, because the mean of its divisors is an integer number (3383280).

Almost surely, 2^257871040 is an apocalyptic number.

257871040 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 257871040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378927360).

257871040 is an abundant number, since it is smaller than the sum of its proper divisors (499983680).

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

257871040 is a wasteful number, since it uses less digits than its factorization.

257871040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 34.

The square root of 257871040 is about 16058.3635529901. The cubic root of 257871040 is about 636.5035896512.

The spelling of 257871040 in words is "two hundred fifty-seven million, eight hundred seventy-one thousand, forty".