230400608256 has 288 divisors, whose sum is σ = 819008124480. Its totient is φ = 60764553216.

The previous prime is 230400608233. The next prime is 230400608261. The reversal of 230400608256 is 652806004032.

230400608256 is a `hidden beast` number, since 2 + 3 + 0 + 40 + 0 + 608 + 2 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a self number, because there is not a number n which added to its sum of digits gives 230400608256.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1608631 + ... + 1745993.

It is an arithmetic number, because the mean of its divisors is an integer number (2843778210).

Almost surely, 2^230400608256 is an apocalyptic number.

230400608256 is a gapful number since it is divisible by the number (26) 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 230400608256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409504062240).

230400608256 is an abundant number, since it is smaller than the sum of its proper divisors (588607516224).

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

230400608256 is a wasteful number, since it uses less digits than its factorization.

230400608256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137411 (or 137388 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 230400608256 in words is "two hundred thirty billion, four hundred million, six hundred eight thousand, two hundred fifty-six".