255694400 has 168 divisors, whose sum is σ = 714329280. Its totient is φ = 89303040.

The previous prime is 255694393. The next prime is 255694441. The reversal of 255694400 is 4496552.

It is a happy number.

255694400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 394877 + ... + 395523.

It is an arithmetic number, because the mean of its divisors is an integer number (4251960).

Almost surely, 2^255694400 is an apocalyptic number.

255694400 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 255694400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357164640).

255694400 is an abundant number, since it is smaller than the sum of its proper divisors (458634880).

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

255694400 is a wasteful number, since it uses less digits than its factorization.

255694400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 701 (or 686 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 35.

The square root of 255694400 is about 15990.4471482195. The cubic root of 255694400 is about 634.7076588483.

The spelling of 255694400 in words is "two hundred fifty-five million, six hundred ninety-four thousand, four hundred".