432180020 has 24 divisors (see below), whose sum is σ = 924704424. Its totient is φ = 169609856.

The previous prime is 432179987. The next prime is 432180031. The reversal of 432180020 is 20081234.

It can be written as a sum of positive squares in 4 ways, for example, as 1036324 + 431143696 = 1018^2 + 20764^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 432179974 and 432180001.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 202799 + ... + 204918.

It is an arithmetic number, because the mean of its divisors is an integer number (38529351).

Almost surely, 2^432180020 is an apocalyptic number.

It is an amenable number.

432180020 is an abundant number, since it is smaller than the sum of its proper divisors (492524404).

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

432180020 is a wasteful number, since it uses less digits than its factorization.

432180020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407779 (or 407777 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 432180020 is about 20788.9398479095. The cubic root of 432180020 is about 756.0576204414.

The spelling of 432180020 in words is "four hundred thirty-two million, one hundred eighty thousand, twenty".