232294400 has 144 divisors (see below), whose sum is σ = 622030500. Its totient is φ = 85524480.

The previous prime is 232294393. The next prime is 232294421. The reversal of 232294400 is 4492232.

It can be written as a sum of positive squares in 6 ways, for example, as 67634176 + 164660224 = 8224^2 + 12832^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a nialpdrome in base 16.

It is a zygodrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 232294400.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 665426 + ... + 665774.

Almost surely, 2^232294400 is an apocalyptic number.

232294400 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 232294400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311015250).

232294400 is an abundant number, since it is smaller than the sum of its proper divisors (389736100).

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

232294400 is a wasteful number, since it uses less digits than its factorization.

232294400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The square root of 232294400 is about 15241.2073012606. The cubic root of 232294400 is about 614.7231662159.

The spelling of 232294400 in words is "two hundred thirty-two million, two hundred ninety-four thousand, four hundred".