257900400 has 180 divisors, whose sum is σ = 908490960. Its totient is φ = 67737600.

The previous prime is 257900389. The next prime is 257900407. The reversal of 257900400 is 4009752.

257900400 is a `hidden beast` number, since 257 + 9 + 0 + 0 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257900407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 255096 + ... + 256104.

It is an arithmetic number, because the mean of its divisors is an integer number (5047172).

Almost surely, 2^257900400 is an apocalyptic number.

257900400 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 257900400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454245480).

257900400 is an abundant number, since it is smaller than the sum of its proper divisors (650590560).

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

257900400 is a wasteful number, since it uses less digits than its factorization.

257900400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1104 (or 1090 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 257900400 is about 16059.2776923497. The cubic root of 257900400 is about 636.5277451828.

The spelling of 257900400 in words is "two hundred fifty-seven million, nine hundred thousand, four hundred".