432062820 has 288 divisors, whose sum is σ = 1656764928. Its totient is φ = 88805376.

The previous prime is 432062809. The next prime is 432062821. The reversal of 432062820 is 28260234.

432062820 is a `hidden beast` number, since 4 + 32 + 0 + 628 + 2 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (432062821) 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 95 ways as a sum of consecutive naturals, for example, 492222 + ... + 493098.

It is an arithmetic number, because the mean of its divisors is an integer number (5752656).

Almost surely, 2^432062820 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 432062820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (828382464).

432062820 is an abundant number, since it is smaller than the sum of its proper divisors (1224702108).

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

432062820 is a wasteful number, since it uses less digits than its factorization.

432062820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 939 (or 934 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 432062820 is about 20786.1208502212. The cubic root of 432062820 is about 755.9892708648.

The spelling of 432062820 in words is "four hundred thirty-two million, sixty-two thousand, eight hundred twenty".