255391920 has 480 divisors, whose sum is σ = 1085644800. Its totient is φ = 54867456.

The previous prime is 255391907. The next prime is 255391963. The reversal of 255391920 is 29193552.

It is a happy number.

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 95 ways as a sum of consecutive naturals, for example, 2010897 + ... + 2011023.

It is an arithmetic number, because the mean of its divisors is an integer number (2261760).

Almost surely, 2^255391920 is an apocalyptic number.

255391920 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 255391920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542822400).

255391920 is an abundant number, since it is smaller than the sum of its proper divisors (830252880).

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

255391920 is a wasteful number, since it uses less digits than its factorization.

255391920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The square root of 255391920 is about 15980.9862023594. The cubic root of 255391920 is about 634.4572790623.

The spelling of 255391920 in words is "two hundred fifty-five million, three hundred ninety-one thousand, nine hundred twenty".