255938400 has 432 divisors, whose sum is σ = 1007279280. Its totient is φ = 62668800.

The previous prime is 255938399. The next prime is 255938407. The reversal of 255938400 is 4839552.

255938400 is a `hidden beast` number, since 25 + 593 + 8 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (255938407) by changing a digit.

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, 6242380 + ... + 6242420.

It is an arithmetic number, because the mean of its divisors is an integer number (2331665).

Almost surely, 2^255938400 is an apocalyptic number.

255938400 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 255938400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503639640).

255938400 is an abundant number, since it is smaller than the sum of its proper divisors (751340880).

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

255938400 is a wasteful number, since it uses less digits than its factorization.

255938400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 255938400 is about 15998.0748841853. The cubic root of 255938400 is about 634.9094875847.

The spelling of 255938400 in words is "two hundred fifty-five million, nine hundred thirty-eight thousand, four hundred".