232406400 has 192 divisors, whose sum is σ = 784681920. Its totient is φ = 60426240.

The previous prime is 232406393. The next prime is 232406407. The reversal of 232406400 is 4604232.

232406400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (232406393) and next prime (232406407).

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232406407) 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, 412519 + ... + 413081.

It is an arithmetic number, because the mean of its divisors is an integer number (4086885).

Almost surely, 2^232406400 is an apocalyptic number.

232406400 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 232406400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392340960).

232406400 is an abundant number, since it is smaller than the sum of its proper divisors (552275520).

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

232406400 is a wasteful number, since it uses less digits than its factorization.

232406400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 633 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 232406400 is about 15244.8811080966. The cubic root of 232406400 is about 614.8219459432.

The spelling of 232406400 in words is "two hundred thirty-two million, four hundred six thousand, four hundred".