232340400 has 300 divisors, whose sum is σ = 853967664. Its totient is φ = 60480000.

The previous prime is 232340371. The next prime is 232340401. The reversal of 232340400 is 4043232.

232340400 is a `hidden beast` number, since 232 + 34 + 0 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (300).

It is a super-2 number, since 2×232340400² = 107964122944320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (232340401) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2300350 + ... + 2300450.

Almost surely, 2^232340400 is an apocalyptic number.

232340400 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 232340400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426983832).

232340400 is an abundant number, since it is smaller than the sum of its proper divisors (621627264).

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

232340400 is a wasteful number, since it uses less digits than its factorization.

232340400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 232340400 is about 15242.7162933645. The cubic root of 232340400 is about 614.7637403025.

Adding to 232340400 its reverse (4043232), we get a palindrome (236383632).

The spelling of 232340400 in words is "two hundred thirty-two million, three hundred forty thousand, four hundred".