255999240 has 384 divisors, whose sum is σ = 1024358400. Its totient is φ = 54190080.

The previous prime is 255999229. The next prime is 255999251. The reversal of 255999240 is 42999552.

255999240 is a `hidden beast` number, since 2 + 559 + 9 + 92 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (255999229) and next prime (255999251).

It is a super-2 number, since 2×255999240² = 131071221761155200, which contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 2265424 + ... + 2265536.

It is an arithmetic number, because the mean of its divisors is an integer number (2667600).

Almost surely, 2^255999240 is an apocalyptic number.

255999240 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 255999240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512179200).

255999240 is an abundant number, since it is smaller than the sum of its proper divisors (768359160).

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

255999240 is a wasteful number, since it uses less digits than its factorization.

255999240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The square root of 255999240 is about 15999.9762499824. The cubic root of 255999240 is about 634.9597924404.

The spelling of 255999240 in words is "two hundred fifty-five million, nine hundred ninety-nine thousand, two hundred forty".