432424104 has 256 divisors, whose sum is σ = 1418342400. Its totient is φ = 106917888.

The previous prime is 432424099. The next prime is 432424141. The reversal of 432424104 is 401424234.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1904839 + ... + 1905065.

It is an arithmetic number, because the mean of its divisors is an integer number (5540400).

Almost surely, 2^432424104 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 432424104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (709171200).

432424104 is an abundant number, since it is smaller than the sum of its proper divisors (985918296).

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

432424104 is a wasteful number, since it uses less digits than its factorization.

432424104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 432424104 is about 20794.8095446917. The cubic root of 432424104 is about 756.1999275273.

Adding to 432424104 its reverse (401424234), we get a palindrome (833848338).

The spelling of 432424104 in words is "four hundred thirty-two million, four hundred twenty-four thousand, one hundred four".