255898400 has 72 divisors (see below), whose sum is σ = 628553520. Its totient is φ = 101730560.

The previous prime is 255898381. The next prime is 255898421. The reversal of 255898400 is 4898552.

It is a super-2 number, since 2×255898400² = 130967982245120000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 142307 + ... + 144093.

It is an arithmetic number, because the mean of its divisors is an integer number (8729910).

Almost surely, 2^255898400 is an apocalyptic number.

255898400 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 255898400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314276760).

255898400 is an abundant number, since it is smaller than the sum of its proper divisors (372655120).

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

255898400 is a wasteful number, since it uses less digits than its factorization.

255898400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1986 (or 1973 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 41.

The square root of 255898400 is about 15996.8246849179. The cubic root of 255898400 is about 634.8764097000.

The spelling of 255898400 in words is "two hundred fifty-five million, eight hundred ninety-eight thousand, four hundred".