432480204 has 144 divisors (see below), whose sum is σ = 1312627680. Its totient is φ = 118609920.

The previous prime is 432480203. The next prime is 432480227. The reversal of 432480204 is 402084234.

It is a happy number.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (432480203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 149734 + ... + 152594.

It is an arithmetic number, because the mean of its divisors is an integer number (9115470).

Almost surely, 2^432480204 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 432480204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656313840).

432480204 is an abundant number, since it is smaller than the sum of its proper divisors (880147476).

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

432480204 is a wasteful number, since it uses less digits than its factorization.

432480204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2920 (or 2915 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 432480204 is about 20796.1583952421. The cubic root of 432480204 is about 756.2326276637.

The spelling of 432480204 in words is "four hundred thirty-two million, four hundred eighty thousand, two hundred four".