432213120 has 96 divisors (see below), whose sum is σ = 1492505820. Its totient is φ = 115255296.

The previous prime is 432213109. The next prime is 432213149. The reversal of 432213120 is 21312234.

432213120 is a `hidden beast` number, since 432 + 213 + 1 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 380718144 + 51494976 = 19512^2 + 7176^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×432213120² = 373616362200268800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 432213093 and 432213102.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31759 + ... + 43278.

Almost surely, 2^432213120 is an apocalyptic number.

432213120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

432213120 is an abundant number, since it is smaller than the sum of its proper divisors (1060292700).

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

432213120 is a wasteful number, since it uses less digits than its factorization.

432213120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75062 (or 75047 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 432213120 is about 20789.7359290588. The cubic root of 432213120 is about 756.0769217103.

Adding to 432213120 its reverse (21312234), we get a palindrome (453525354).

The spelling of 432213120 in words is "four hundred thirty-two million, two hundred thirteen thousand, one hundred twenty".