232190400 has 252 divisors, whose sum is σ = 834045576. Its totient is φ = 56217600.

The previous prime is 232190389. The next prime is 232190407. The reversal of 232190400 is 4091232.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232190407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3806370 + ... + 3806430.

Almost surely, 2^232190400 is an apocalyptic number.

232190400 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 232190400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417022788).

232190400 is an abundant number, since it is smaller than the sum of its proper divisors (601855176).

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

232190400 is a wasteful number, since it uses less digits than its factorization.

232190400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 232190400 is about 15237.7951160921. The cubic root of 232190400 is about 614.6314137494.

The spelling of 232190400 in words is "two hundred thirty-two million, one hundred ninety thousand, four hundred".