257981400 has 144 divisors (see below), whose sum is σ = 871011960. Its totient is φ = 68428800.

The previous prime is 257981377. The next prime is 257981407. The reversal of 257981400 is 4189752.

257981400 is a `hidden beast` number, since 2 + 579 + 81 + 4 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257981407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 595584 + ... + 596016.

Almost surely, 2^257981400 is an apocalyptic number.

257981400 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 257981400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435505980).

257981400 is an abundant number, since it is smaller than the sum of its proper divisors (613030560).

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

257981400 is a wasteful number, since it uses less digits than its factorization.

257981400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 786 (or 774 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 257981400 is about 16061.7994010634. The cubic root of 257981400 is about 636.5943773020.

The spelling of 257981400 in words is "two hundred fifty-seven million, nine hundred eighty-one thousand, four hundred".