255952704 has 112 divisors (see below), whose sum is σ = 779523968. Its totient is φ = 72603648.

The previous prime is 255952703. The next prime is 255952721. The reversal of 255952704 is 407259552.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (255952703) 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 15 ways as a sum of consecutive naturals, for example, 210402 + ... + 211614.

Almost surely, 2^255952704 is an apocalyptic number.

255952704 is a gapful number since it is divisible by the number (24) 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 255952704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389761984).

255952704 is an abundant number, since it is smaller than the sum of its proper divisors (523571264).

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

255952704 is a wasteful number, since it uses less digits than its factorization.

255952704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1392 (or 1382 counting only the distinct ones).

The product of its (nonzero) digits is 126000, while the sum is 39.

The square root of 255952704 is about 15998.5219317286. The cubic root of 255952704 is about 634.9213153997.

The spelling of 255952704 in words is "two hundred fifty-five million, nine hundred fifty-two thousand, seven hundred four".