255942080 has 56 divisors (see below), whose sum is σ = 615574080. Its totient is φ = 101350400.

The previous prime is 255942053. The next prime is 255942083. The reversal of 255942080 is 80249552.

It is a happy number.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 255942080.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (255942083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28361 + ... + 36279.

Almost surely, 2^255942080 is an apocalyptic number.

255942080 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 255942080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307787040).

255942080 is an abundant number, since it is smaller than the sum of its proper divisors (359632000).

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

255942080 is a wasteful number, since it uses less digits than its factorization.

255942080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8037 (or 8027 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 35.

The square root of 255942080 is about 15998.1898976103. The cubic root of 255942080 is about 634.9125305770.

The spelling of 255942080 in words is "two hundred fifty-five million, nine hundred forty-two thousand, eighty".