230400311232 has 448 divisors, whose sum is σ = 770144256000. Its totient is φ = 60403875840.

The previous prime is 230400311179. The next prime is 230400311257. The reversal of 230400311232 is 232113004032.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 230400311199 and 230400311208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 163519744 + ... + 163521152.

It is an arithmetic number, because the mean of its divisors is an integer number (1719072000).

Almost surely, 2^230400311232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230400311232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385072128000).

230400311232 is an abundant number, since it is smaller than the sum of its proper divisors (539743944768).

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

230400311232 is a wasteful number, since it uses less digits than its factorization.

230400311232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1649 (or 1625 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 230400311232 its reverse (232113004032), we get a palindrome (462513315264).

The spelling of 230400311232 in words is "two hundred thirty billion, four hundred million, three hundred eleven thousand, two hundred thirty-two".