255079440 has 480 divisors, whose sum is σ = 1103072256. Its totient is φ = 51287040.

The previous prime is 255079423. The next prime is 255079457. The reversal of 255079440 is 44970552.

255079440 is a `hidden beast` number, since 25 + 507 + 94 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (255079423) and next prime (255079457).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 255079395 and 255079404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2383867 + ... + 2383973.

Almost surely, 2^255079440 is an apocalyptic number.

255079440 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 255079440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551536128).

255079440 is an abundant number, since it is smaller than the sum of its proper divisors (847992816).

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

255079440 is a wasteful number, since it uses less digits than its factorization.

255079440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 255079440 is about 15971.2065918640. The cubic root of 255079440 is about 634.1984140171.

The spelling of 255079440 in words is "two hundred fifty-five million, seventy-nine thousand, four hundred forty".