255697200 has 270 divisors, whose sum is σ = 977002572. Its totient is φ = 61881600.

The previous prime is 255697181. The next prime is 255697201. The reversal of 255697200 is 2796552.

255697200 is a `hidden beast` number, since 25 + 569 + 72 + 0 + 0 = 666.

255697200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (255697201) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 435307 + ... + 435893.

Almost surely, 2^255697200 is an apocalyptic number.

255697200 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 255697200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488501286).

255697200 is an abundant number, since it is smaller than the sum of its proper divisors (721305372).

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

255697200 is a wasteful number, since it uses less digits than its factorization.

255697200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 633 (or 608 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 255697200 is about 15990.5347002531. The cubic root of 255697200 is about 634.7099756439.

The spelling of 255697200 in words is "two hundred fifty-five million, six hundred ninety-seven thousand, two hundred".