432198720 has 112 divisors (see below), whose sum is σ = 1524731520. Its totient is φ = 115250688.

The previous prime is 432198713. The next prime is 432198721. The reversal of 432198720 is 27891234.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (432198721) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 16372 + ... + 33651.

Almost surely, 2^432198720 is an apocalyptic number.

432198720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

432198720 is an abundant number, since it is smaller than the sum of its proper divisors (1092532800).

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

432198720 is a wasteful number, since it uses less digits than its factorization.

432198720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50049 (or 50033 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 432198720 is about 20789.3896014289. The cubic root of 432198720 is about 756.0685249048.

It can be divided in two parts, 4321 and 98720, that added together give a square (103041 = 321²).

The spelling of 432198720 in words is "four hundred thirty-two million, one hundred ninety-eight thousand, seven hundred twenty".