255651840 has 312 divisors, whose sum is σ = 945569040. Its totient is φ = 63700992.

The previous prime is 255651817. The next prime is 255651881. The reversal of 255651840 is 48156552.

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

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 255651795 and 255651804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3502044 + ... + 3502116.

It is an arithmetic number, because the mean of its divisors is an integer number (3030670).

Almost surely, 2^255651840 is an apocalyptic number.

255651840 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 255651840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472784520).

255651840 is an abundant number, since it is smaller than the sum of its proper divisors (689917200).

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

255651840 is a wasteful number, since it uses less digits than its factorization.

255651840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The square root of 255651840 is about 15989.1162982824. The cubic root of 255651840 is about 634.6724414731.

The spelling of 255651840 in words is "two hundred fifty-five million, six hundred fifty-one thousand, eight hundred forty".