256605600 has 144 divisors (see below), whose sum is σ = 862444800. Its totient is φ = 66201600.

The previous prime is 256605563. The next prime is 256605607. The reversal of 256605600 is 6506652.

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

It is not an unprimeable number, because it can be changed into a prime (256605607) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72676 + ... + 76124.

It is an arithmetic number, because the mean of its divisors is an integer number (5989200).

Almost surely, 2^256605600 is an apocalyptic number.

256605600 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 256605600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431222400).

256605600 is an abundant number, since it is smaller than the sum of its proper divisors (605839200).

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

256605600 is a wasteful number, since it uses less digits than its factorization.

256605600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3503 (or 3490 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 256605600 is about 16018.9138208556. The cubic root of 256605600 is about 635.4607192367.

The spelling of 256605600 in words is "two hundred fifty-six million, six hundred five thousand, six hundred".