432206120 has 32 divisors (see below), whose sum is σ = 973856520. Its totient is φ = 172634880.

The previous prime is 432206119. The next prime is 432206143. The reversal of 432206120 is 21602234.

It can be written as a sum of positive squares in 4 ways, for example, as 420496036 + 11710084 = 20506^2 + 3422^2 .

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 = 432206092 and 432206101.

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, 21950 + ... + 36690.

Almost surely, 2^432206120 is an apocalyptic number.

432206120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

432206120 is an abundant number, since it is smaller than the sum of its proper divisors (541650400).

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

432206120 is a wasteful number, since it uses less digits than its factorization.

432206120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15485 (or 15481 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 432206120 is about 20789.5675760705. The cubic root of 432206120 is about 756.0728399531.

Adding to 432206120 its reverse (21602234), we get a palindrome (453808354).

The spelling of 432206120 in words is "four hundred thirty-two million, two hundred six thousand, one hundred twenty".