432404120 has 64 divisors (see below), whose sum is σ = 1013990400. Its totient is φ = 165767040.

The previous prime is 432404107. The next prime is 432404143. The reversal of 432404120 is 21404234.

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 = 432404092 and 432404101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 131051 + ... + 134309.

It is an arithmetic number, because the mean of its divisors is an integer number (15843600).

Almost surely, 2^432404120 is an apocalyptic number.

432404120 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 432404120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506995200).

432404120 is an abundant number, since it is smaller than the sum of its proper divisors (581586280).

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

432404120 is a wasteful number, since it uses less digits than its factorization.

432404120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3408 (or 3404 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 432404120 is about 20794.3290346190. The cubic root of 432404120 is about 756.1882783678.

Adding to 432404120 its reverse (21404234), we get a palindrome (453808354).

The spelling of 432404120 in words is "four hundred thirty-two million, four hundred four thousand, one hundred twenty".