255806460 has 432 divisors, whose sum is σ = 1024785216. Its totient is φ = 51093504.

The previous prime is 255806423. The next prime is 255806479. The reversal of 255806460 is 64608552.

255806460 is a `hidden beast` number, since 2 + 5 + 5 + 8 + 0 + 646 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2637132 + ... + 2637228.

It is an arithmetic number, because the mean of its divisors is an integer number (2372188).

Almost surely, 2^255806460 is an apocalyptic number.

255806460 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 255806460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512392608).

255806460 is an abundant number, since it is smaller than the sum of its proper divisors (768978756).

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

255806460 is a wasteful number, since it uses less digits than its factorization.

255806460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 255806460 is about 15993.9507314484. The cubic root of 255806460 is about 634.8003671130.

The spelling of 255806460 in words is "two hundred fifty-five million, eight hundred six thousand, four hundred sixty".