257161400 has 48 divisors (see below), whose sum is σ = 600296400. Its totient is φ = 102452480.

The previous prime is 257161391. The next prime is 257161403. The reversal of 257161400 is 4161752.

It is a super-2 number, since 2×257161400² = 132263971299920000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 257161400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257161403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50156 + ... + 55044.

It is an arithmetic number, because the mean of its divisors is an integer number (12506175).

Almost surely, 2^257161400 is an apocalyptic number.

257161400 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 257161400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300148200).

257161400 is an abundant number, since it is smaller than the sum of its proper divisors (343135000).

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

257161400 is a wasteful number, since it uses less digits than its factorization.

257161400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5168 (or 5159 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 26.

The square root of 257161400 is about 16036.2526794760. The cubic root of 257161400 is about 635.9191846472.

The spelling of 257161400 in words is "two hundred fifty-seven million, one hundred sixty-one thousand, four hundred".