255292800 has 384 divisors, whose sum is σ = 1001721600. Its totient is φ = 55910400.

The previous prime is 255292799. The next prime is 255292819. The reversal of 255292800 is 8292552.

It is a tau number, because it is divible by the number of its divisors (384).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1948735 + ... + 1948865.

It is an arithmetic number, because the mean of its divisors is an integer number (2608650).

Almost surely, 2^255292800 is an apocalyptic number.

255292800 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 255292800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500860800).

255292800 is an abundant number, since it is smaller than the sum of its proper divisors (746428800).

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

255292800 is a wasteful number, since it uses less digits than its factorization.

255292800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The square root of 255292800 is about 15977.8847160693. The cubic root of 255292800 is about 634.3751888341.

The spelling of 255292800 in words is "two hundred fifty-five million, two hundred ninety-two thousand, eight hundred".