255013920 has 288 divisors, whose sum is σ = 1032490368. Its totient is φ = 58226688.

The previous prime is 255013897. The next prime is 255013943. The reversal of 255013920 is 29310552.

It is an interprime number because it is at equal distance from previous prime (255013897) and next prime (255013943).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 271692 + ... + 272628.

It is an arithmetic number, because the mean of its divisors is an integer number (3585036).

Almost surely, 2^255013920 is an apocalyptic number.

255013920 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 255013920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516245184).

255013920 is an abundant number, since it is smaller than the sum of its proper divisors (777476448).

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

255013920 is an equidigital number, since it uses as much as digits as its factorization.

255013920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 974 (or 954 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 255013920 is about 15969.1552688300. The cubic root of 255013920 is about 634.1441090545.

The spelling of 255013920 in words is "two hundred fifty-five million, thirteen thousand, nine hundred twenty".