255761200 has 60 divisors (see below), whose sum is σ = 616239328. Its totient is φ = 102009600.

The previous prime is 255761171. The next prime is 255761213. The reversal of 255761200 is 2167552.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 184510 + ... + 185890.

Almost surely, 2^255761200 is an apocalyptic number.

255761200 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 255761200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308119664).

255761200 is an abundant number, since it is smaller than the sum of its proper divisors (360478128).

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

255761200 is a wasteful number, since it uses less digits than its factorization.

255761200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1862 (or 1851 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 28.

The square root of 255761200 is about 15992.5357589095. The cubic root of 255761200 is about 634.7629263603.

The spelling of 255761200 in words is "two hundred fifty-five million, seven hundred sixty-one thousand, two hundred".