232445250310400 has 216 divisors, whose sum is σ = 579638175469920. Its totient is φ = 92283452538880.

The previous prime is 232445250310397. The next prime is 232445250310409. The reversal of 232445250310400 is 4013052544232.

It is a happy number.

It is a super-3 number, since 3×232445250310400³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (232445250310409) 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, 5943807647 + ... + 5943846753.

It is an arithmetic number, because the mean of its divisors is an integer number (2683510071620).

Almost surely, 2^{232445250310400} is an apocalyptic number.

232445250310400 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 232445250310400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289819087734960).

232445250310400 is an abundant number, since it is smaller than the sum of its proper divisors (347192925159520).

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

232445250310400 is a wasteful number, since it uses less digits than its factorization.

232445250310400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46049 (or 46030 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 35.

The spelling of 232445250310400 in words is "two hundred thirty-two trillion, four hundred forty-five billion, two hundred fifty million, three hundred ten thousand, four hundred".