255809664 has 160 divisors (see below), whose sum is σ = 830863440. Its totient is φ = 77483520.

The previous prime is 255809647. The next prime is 255809681. The reversal of 255809664 is 466908552.

255809664 is a `hidden beast` number, since 2 + 5 + 580 + 9 + 6 + 64 = 666.

255809664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (255809647) and next prime (255809681).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 112927 + ... + 115169.

Almost surely, 2^255809664 is an apocalyptic number.

255809664 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 255809664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415431720).

255809664 is an abundant number, since it is smaller than the sum of its proper divisors (575053776).

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

255809664 is a wasteful number, since it uses less digits than its factorization.

255809664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2280 (or 2259 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 255809664 is about 15994.0508940043. The cubic root of 255809664 is about 634.8030174134.

The spelling of 255809664 in words is "two hundred fifty-five million, eight hundred nine thousand, six hundred sixty-four".