255897600 has 468 divisors, whose sum is σ = 1042091784. Its totient is φ = 55050240.

The previous prime is 255897599. The next prime is 255897613. The reversal of 255897600 is 6798552.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 15052792 + ... + 15052808.

Almost surely, 2^255897600 is an apocalyptic number.

255897600 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 255897600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521045892).

255897600 is an abundant number, since it is smaller than the sum of its proper divisors (786194184).

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

255897600 is a wasteful number, since it uses less digits than its factorization.

255897600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 42.

The square root of 255897600 is about 15996.7996799360. The cubic root of 255897600 is about 634.8757481071.

The spelling of 255897600 in words is "two hundred fifty-five million, eight hundred ninety-seven thousand, six hundred".