255259200 has 336 divisors, whose sum is σ = 979651584. Its totient is φ = 56985600.

The previous prime is 255259171. The next prime is 255259217. The reversal of 255259200 is 2952552.

255259200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2385547 + ... + 2385653.

Almost surely, 2^255259200 is an apocalyptic number.

255259200 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 255259200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489825792).

255259200 is an abundant number, since it is smaller than the sum of its proper divisors (724392384).

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

255259200 is a wasteful number, since it uses less digits than its factorization.

255259200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 30.

The square root of 255259200 is about 15976.8332281463. The cubic root of 255259200 is about 634.3473568160.

The spelling of 255259200 in words is "two hundred fifty-five million, two hundred fifty-nine thousand, two hundred".