432122400 has 108 divisors (see below), whose sum is σ = 1523797002. Its totient is φ = 115230720.

The previous prime is 432122387. The next prime is 432122419. The reversal of 432122400 is 4221234.

It can be written as a sum of positive squares in 3 ways, for example, as 388720656 + 43401744 = 19716^2 + 6588^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 22809 + ... + 37208.

Almost surely, 2^432122400 is an apocalyptic number.

432122400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

432122400 is an abundant number, since it is smaller than the sum of its proper divisors (1091674602).

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

432122400 is a wasteful number, since it uses less digits than its factorization.

432122400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60043 (or 60027 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 432122400 is about 20787.5539686612. The cubic root of 432122400 is about 756.0240187212.

Adding to 432122400 its reverse (4221234), we get a palindrome (436343634).

The spelling of 432122400 in words is "four hundred thirty-two million, one hundred twenty-two thousand, four hundred".