255405960 has 160 divisors (see below), whose sum is σ = 909140760. Its totient is φ = 64088064.

The previous prime is 255405937. The next prime is 255405989. The reversal of 255405960 is 69504552.

255405960 is a `hidden beast` number, since 2 + 5 + 540 + 59 + 60 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 207878724 + 47527236 = 14418^2 + 6894^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 52762 + ... + 57398.

Almost surely, 2^255405960 is an apocalyptic number.

255405960 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 255405960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454570380).

255405960 is an abundant number, since it is smaller than the sum of its proper divisors (653734800).

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

255405960 is a wasteful number, since it uses less digits than its factorization.

255405960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4677 (or 4664 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The square root of 255405960 is about 15981.4254683367. The cubic root of 255405960 is about 634.4689051375.

The spelling of 255405960 in words is "two hundred fifty-five million, four hundred five thousand, nine hundred sixty".