230876654400 has 336 divisors, whose sum is σ = 961865162880. Its totient is φ = 52771737600.

The previous prime is 230876654399. The next prime is 230876654401. The reversal of 230876654400 is 4456678032.

230876654400 is a `hidden beast` number, since 2 + 30 + 8 + 76 + 6 + 544 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (230876654399) and next prime (230876654401).

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230876654401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 79341 + ... + 684140.

Almost surely, 2^230876654400 is an apocalyptic number.

230876654400 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 230876654400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480932581440).

230876654400 is an abundant number, since it is smaller than the sum of its proper divisors (730988508480).

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

230876654400 is a wasteful number, since it uses less digits than its factorization.

230876654400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 763519 (or 763498 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 230876654400 in words is "two hundred thirty billion, eight hundred seventy-six million, six hundred fifty-four thousand, four hundred".