256089600 has 600 divisors, whose sum is σ = 1074436440. Its totient is φ = 59719680.

The previous prime is 256089583. The next prime is 256089629. The reversal of 256089600 is 6980652.

256089600 is a `hidden beast` number, since 2 + 560 + 8 + 96 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 13478391 + ... + 13478409.

Almost surely, 2^256089600 is an apocalyptic number.

256089600 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 256089600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537218220).

256089600 is an abundant number, since it is smaller than the sum of its proper divisors (818346840).

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

256089600 is a wasteful number, since it uses less digits than its factorization.

256089600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 256089600 is about 16002.7997550429. The cubic root of 256089600 is about 635.0344908622.

The spelling of 256089600 in words is "two hundred fifty-six million, eighty-nine thousand, six hundred".