432144400 has 60 divisors (see below), whose sum is σ = 1040236372. Its totient is φ = 172523520.

The previous prime is 432144373. The next prime is 432144463. The reversal of 432144400 is 4441234.

It can be written as a sum of positive squares in 6 ways, for example, as 29419776 + 402724624 = 5424^2 + 20068^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 374224 + ... + 375376.

Almost surely, 2^432144400 is an apocalyptic number.

432144400 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 432144400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520118186).

432144400 is an abundant number, since it is smaller than the sum of its proper divisors (608091972).

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

432144400 is a wasteful number, since it uses less digits than its factorization.

432144400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2108 (or 2097 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 432144400 is about 20788.0831247135. The cubic root of 432144400 is about 756.0368486094.

Adding to 432144400 its reverse (4441234), we get a palindrome (436585634).

The spelling of 432144400 in words is "four hundred thirty-two million, one hundred forty-four thousand, four hundred".