255744000 has 384 divisors, whose sum is σ = 971006400. Its totient is φ = 66355200.

The previous prime is 255743977. The next prime is 255744029. The reversal of 255744000 is 447552.

255744000 is a `hidden beast` number, since 255 + 7 + 4 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6911982 + ... + 6912018.

Almost surely, 2^255744000 is an apocalyptic number.

255744000 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 255744000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485503200).

255744000 is an abundant number, since it is smaller than the sum of its proper divisors (715262400).

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

255744000 is an equidigital number, since it uses as much as digits as its factorization.

255744000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 27.

The square root of 255744000 is about 15991.9979989994. The cubic root of 255744000 is about 634.7486967233.

The spelling of 255744000 in words is "two hundred fifty-five million, seven hundred forty-four thousand".