255713600 has 84 divisors (see below), whose sum is σ = 638360928. Its totient is φ = 100800000.

The previous prime is 255713581. The next prime is 255713603. The reversal of 255713600 is 6317552.

255713600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (255713603) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 112475 + ... + 114725.

Almost surely, 2^255713600 is an apocalyptic number.

255713600 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 255713600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319180464).

255713600 is an abundant number, since it is smaller than the sum of its proper divisors (382647328).

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

255713600 is a wasteful number, since it uses less digits than its factorization.

255713600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2344 (or 2329 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 29.

The square root of 255713600 is about 15991.0474953957. The cubic root of 255713600 is about 634.7235451068.

The spelling of 255713600 in words is "two hundred fifty-five million, seven hundred thirteen thousand, six hundred".