255629952 has 256 divisors, whose sum is σ = 844560000. Its totient is φ = 75644928.

The previous prime is 255629923. The next prime is 255629953. The reversal of 255629952 is 259926552.

255629952 is a `hidden beast` number, since 2 + 556 + 2 + 9 + 95 + 2 = 666.

Its product of digits (486000) is a multiple of the sum of its prime divisors (270).

It is a junction number, because it is equal to n+sod(n) for n = 255629898 and 255629907.

It is not an unprimeable number, because it can be changed into a prime (255629953) 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 31 ways as a sum of consecutive naturals, for example, 1116174 + ... + 1116402.

Almost surely, 2^255629952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 255629952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422280000).

255629952 is an abundant number, since it is smaller than the sum of its proper divisors (588930048).

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

255629952 is a wasteful number, since it uses less digits than its factorization.

255629952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 270 counting only the distinct ones).

The product of its digits is 486000, while the sum is 45.

The square root of 255629952 is about 15988.4318180364. The cubic root of 255629952 is about 634.6543281582.

The spelling of 255629952 in words is "two hundred fifty-five million, six hundred twenty-nine thousand, nine hundred fifty-two".