255953600 has 84 divisors (see below), whose sum is σ = 719809584. Its totient is φ = 87751680.

The previous prime is 255953597. The next prime is 255953603. The reversal of 255953600 is 6359552.

It is an interprime number because it is at equal distance from previous prime (255953597) and next prime (255953603).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is not an unprimeable number, because it can be changed into a prime (255953603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 227 + ... + 22626.

Almost surely, 2^255953600 is an apocalyptic number.

255953600 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 255953600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359904792).

255953600 is an abundant number, since it is smaller than the sum of its proper divisors (463855984).

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

255953600 is a wasteful number, since it uses less digits than its factorization.

255953600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22882 (or 22867 counting only the distinct ones).

The product of its (nonzero) digits is 40500, while the sum is 35.

The square root of 255953600 is about 15998.5499342909. The cubic root of 255953600 is about 634.9220562772.

It can be divided in two parts, 25 and 5953600, that multiplied together give a square (148840000 = 12200²).

The spelling of 255953600 in words is "two hundred fifty-five million, nine hundred fifty-three thousand, six hundred".