255830400 has 576 divisors, whose sum is σ = 1104929280. Its totient is φ = 57231360.

The previous prime is 255830369. The next prime is 255830461. The reversal of 255830400 is 4038552.

255830400 is a `hidden beast` number, since 255 + 8 + 3 + 0 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 5443177 + ... + 5443223.

It is an arithmetic number, because the mean of its divisors is an integer number (1918280).

Almost surely, 2^255830400 is an apocalyptic number.

255830400 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 255830400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552464640).

255830400 is an abundant number, since it is smaller than the sum of its proper divisors (849098880).

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

255830400 is an equidigital number, since it uses as much as digits as its factorization.

255830400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 255830400 is about 15994.6991218966. The cubic root of 255830400 is about 634.8201693843.

Adding to 255830400 its reverse (4038552), we get a palindrome (259868952).

The spelling of 255830400 in words is "two hundred fifty-five million, eight hundred thirty thousand, four hundred".