255360000 has 440 divisors, whose sum is σ = 1023172480. Its totient is φ = 55296000.

The previous prime is 255359987. The next prime is 255360011. The reversal of 255360000 is 63552.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 13439991 + ... + 13440009.

It is an arithmetic number, because the mean of its divisors is an integer number (2325392).

Almost surely, 2^255360000 is an apocalyptic number.

255360000 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 255360000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511586240).

255360000 is an abundant number, since it is smaller than the sum of its proper divisors (767812480).

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

255360000 is an equidigital number, since it uses as much as digits as its factorization.

255360000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 21.

The square root of 255360000 is about 15979.9874843505. The cubic root of 255360000 is about 634.4308455451.

The spelling of 255360000 in words is "two hundred fifty-five million, three hundred sixty thousand".