255356640 has 576 divisors, whose sum is σ = 1132185600. Its totient is φ = 51932160.

The previous prime is 255356623. The next prime is 255356663. The reversal of 255356640 is 46653552.

It is a happy number.

255356640 is a `hidden beast` number, since 2 + 5 + 5 + 3 + 5 + 6 + 640 = 666.

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 = 255356595 and 255356604.

It is a congruent number.

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, 5433097 + ... + 5433143.

It is an arithmetic number, because the mean of its divisors is an integer number (1965600).

Almost surely, 2^255356640 is an apocalyptic number.

255356640 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 255356640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566092800).

255356640 is an abundant number, since it is smaller than the sum of its proper divisors (876828960).

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

255356640 is a wasteful number, since it uses less digits than its factorization.

255356640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The square root of 255356640 is about 15979.8823525081. The cubic root of 255356640 is about 634.4280629415.

The spelling of 255356640 in words is "two hundred fifty-five million, three hundred fifty-six thousand, six hundred forty".