432223400 has 96 divisors (see below), whose sum is σ = 1209000000. Its totient is φ = 140382720.

The previous prime is 432223391. The next prime is 432223403. The reversal of 432223400 is 4322234.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (432223403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18476 + ... + 34724.

It is an arithmetic number, because the mean of its divisors is an integer number (12593750).

Almost surely, 2^432223400 is an apocalyptic number.

432223400 is a gapful number since it is divisible by the number (40) 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 432223400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604500000).

432223400 is an abundant number, since it is smaller than the sum of its proper divisors (776776600).

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

432223400 is a wasteful number, since it uses less digits than its factorization.

432223400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16291 (or 16282 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 432223400 is about 20789.9831649763. The cubic root of 432223400 is about 756.0829159824.

Adding to 432223400 its reverse (4322234), we get a palindrome (436545634).

432223400 divided by its reverse (4322234) gives a square (100 = 10²).

The spelling of 432223400 in words is "four hundred thirty-two million, two hundred twenty-three thousand, four hundred".