256853400 has 96 divisors (see below), whose sum is σ = 838190400. Its totient is φ = 64886400.

The previous prime is 256853369. The next prime is 256853437. The reversal of 256853400 is 4358652.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 135 + ... + 22665.

It is an arithmetic number, because the mean of its divisors is an integer number (8731150).

Almost surely, 2^256853400 is an apocalyptic number.

256853400 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 256853400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419095200).

256853400 is an abundant number, since it is smaller than the sum of its proper divisors (581337000).

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

256853400 is a wasteful number, since it uses less digits than its factorization.

256853400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22569 (or 22560 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 256853400 is about 16026.6465612741. The cubic root of 256853400 is about 635.6652049086.

The spelling of 256853400 in words is "two hundred fifty-six million, eight hundred fifty-three thousand, four hundred".