255765384 has 256 divisors, whose sum is σ = 887040000. Its totient is φ = 66624768.

The previous prime is 255765379. The next prime is 255765401. The reversal of 255765384 is 483567552.

255765384 is a `hidden beast` number, since 2 + 557 + 65 + 38 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 832959 + ... + 833265.

It is an arithmetic number, because the mean of its divisors is an integer number (3465000).

Almost surely, 2^255765384 is an apocalyptic number.

255765384 is a gapful number since it is divisible by the number (24) 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 255765384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443520000).

255765384 is an abundant number, since it is smaller than the sum of its proper divisors (631274616).

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

255765384 is a wasteful number, since it uses less digits than its factorization.

255765384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 367 counting only the distinct ones).

The product of its digits is 1008000, while the sum is 45.

The square root of 255765384 is about 15992.6665693999. Note that the first 3 decimals coincide. The cubic root of 255765384 is about 634.7663877057.

The spelling of 255765384 in words is "two hundred fifty-five million, seven hundred sixty-five thousand, three hundred eighty-four".