232505132454400 has 480 divisors, whose sum is σ = 629792146722816. Its totient is φ = 84551884800000.

The previous prime is 232505132454373. The next prime is 232505132454401. The reversal of 232505132454400 is 4454231505232.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (232505132454401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3209986185 + ... + 3210058615.

Almost surely, 2^{232505132454400} is an apocalyptic number.

232505132454400 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 232505132454400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314896073361408).

232505132454400 is an abundant number, since it is smaller than the sum of its proper divisors (397287014268416).

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

232505132454400 is a wasteful number, since it uses less digits than its factorization.

232505132454400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72764 (or 72743 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 40.

Adding to 232505132454400 its reverse (4454231505232), we get a palindrome (236959363959632).

The spelling of 232505132454400 in words is "two hundred thirty-two trillion, five hundred five billion, one hundred thirty-two million, four hundred fifty-four thousand, four hundred".