255365600 has 144 divisors (see below), whose sum is σ = 735952896. Its totient is φ = 84672000.

The previous prime is 255365599. The next prime is 255365603. The reversal of 255365600 is 6563552.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (255365603) 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 23 ways as a sum of consecutive naturals, for example, 172865 + ... + 174335.

It is an arithmetic number, because the mean of its divisors is an integer number (5110784).

Almost surely, 2^255365600 is an apocalyptic number.

255365600 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 255365600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367976448).

255365600 is an abundant number, since it is smaller than the sum of its proper divisors (480587296).

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

255365600 is a wasteful number, since it uses less digits than its factorization.

255365600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1529 (or 1516 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 32.

The square root of 255365600 is about 15980.1627025509. The cubic root of 255365600 is about 634.4354831636.

The spelling of 255365600 in words is "two hundred fifty-five million, three hundred sixty-five thousand, six hundred".