256114400 has 36 divisors (see below), whose sum is σ = 625241232. Its totient is φ = 102445440.

The previous prime is 256114363. The next prime is 256114403. The reversal of 256114400 is 4411652.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256114403) 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 5 ways as a sum of consecutive naturals, for example, 159272 + ... + 160871.

It is an arithmetic number, because the mean of its divisors is an integer number (17367812).

Almost surely, 2^256114400 is an apocalyptic number.

256114400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

256114400 is an abundant number, since it is smaller than the sum of its proper divisors (369126832).

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

256114400 is a wasteful number, since it uses less digits than its factorization.

256114400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320163 (or 320150 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 256114400 is about 16003.5746006947. The cubic root of 256114400 is about 635.0549893479.

It can be divided in two parts, 2561 and 14400, that added together give a palindrome (16961).

The spelling of 256114400 in words is "two hundred fifty-six million, one hundred fourteen thousand, four hundred".