255985920 has 216 divisors, whose sum is σ = 919603776. Its totient is φ = 68179968.

The previous prime is 255985909. The next prime is 255985957. The reversal of 255985920 is 29589552.

255985920 is a `hidden beast` number, since 2 + 5 + 59 + 8 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 310629 + ... + 311451.

Almost surely, 2^255985920 is an apocalyptic number.

255985920 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 255985920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459801888).

255985920 is an abundant number, since it is smaller than the sum of its proper divisors (663617856).

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

255985920 is an frugal number, since it uses more digits than its factorization.

255985920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 859 (or 833 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 45.

The square root of 255985920 is about 15999.5599939498. The cubic root of 255985920 is about 634.9487796328.

The spelling of 255985920 in words is "two hundred fifty-five million, nine hundred eighty-five thousand, nine hundred twenty".