432942120 has 192 divisors, whose sum is σ = 1535788800. Its totient is φ = 105131520.

The previous prime is 432942091. The next prime is 432942121. The reversal of 432942120 is 21249234.

It is not an unprimeable number, because it can be changed into a prime (432942121) 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 47 ways as a sum of consecutive naturals, for example, 369135 + ... + 370305.

It is an arithmetic number, because the mean of its divisors is an integer number (7998900).

Almost surely, 2^432942120 is an apocalyptic number.

432942120 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 432942120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (767894400).

432942120 is an abundant number, since it is smaller than the sum of its proper divisors (1102846680).

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

432942120 is a wasteful number, since it uses less digits than its factorization.

432942120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1280 (or 1273 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 432942120 is about 20807.2612325601. The cubic root of 432942120 is about 756.5017665030.

The spelling of 432942120 in words is "four hundred thirty-two million, nine hundred forty-two thousand, one hundred twenty".