255903840 has 192 divisors, whose sum is σ = 920445120. Its totient is φ = 66355200.

The previous prime is 255903829. The next prime is 255903847. The reversal of 255903840 is 48309552.

255903840 is a `hidden beast` number, since 25 + 590 + 3 + 8 + 40 = 666.

255903840 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 = 255903795 and 255903804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (255903847) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 159040 + ... + 160640.

It is an arithmetic number, because the mean of its divisors is an integer number (4793985).

Almost surely, 2^255903840 is an apocalyptic number.

255903840 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 255903840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460222560).

255903840 is an abundant number, since it is smaller than the sum of its proper divisors (664541280).

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

255903840 is a wasteful number, since it uses less digits than its factorization.

255903840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1662 (or 1648 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 255903840 is about 15996.9947177587. The cubic root of 255903840 is about 634.8809084948.

The spelling of 255903840 in words is "two hundred fifty-five million, nine hundred three thousand, eight hundred forty".