255116400 has 360 divisors, whose sum is σ = 1030684032. Its totient is φ = 52800000.

The previous prime is 255116387. The next prime is 255116417. The reversal of 255116400 is 4611552.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1016275 + ... + 1016525.

Almost surely, 2^255116400 is an apocalyptic number.

255116400 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 255116400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515342016).

255116400 is an abundant number, since it is smaller than the sum of its proper divisors (775567632).

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

255116400 is a wasteful number, since it uses less digits than its factorization.

255116400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 255116400 is about 15972.3636322243. The cubic root of 255116400 is about 634.2290434835.

Adding to 255116400 its reverse (4611552), we get a palindrome (259727952).

The spelling of 255116400 in words is "two hundred fifty-five million, one hundred sixteen thousand, four hundred".