255578400 has 432 divisors, whose sum is σ = 1126052928. Its totient is φ = 52992000.

The previous prime is 255578377. The next prime is 255578431. The reversal of 255578400 is 4875552.

It is a happy number.

255578400 is a `hidden beast` number, since 25 + 557 + 84 + 0 + 0 = 666.

255578400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 554170 + ... + 554630.

It is an arithmetic number, because the mean of its divisors is an integer number (2606604).

Almost surely, 2^255578400 is an apocalyptic number.

255578400 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 255578400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563026464).

255578400 is an abundant number, since it is smaller than the sum of its proper divisors (870474528).

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

255578400 is a wasteful number, since it uses less digits than its factorization.

255578400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 56000, while the sum is 36.

The square root of 255578400 is about 15986.8195711342. The cubic root of 255578400 is about 634.6116624490.

The spelling of 255578400 in words is "two hundred fifty-five million, five hundred seventy-eight thousand, four hundred".