432402432 has 208 divisors, whose sum is σ = 1440567552. Its totient is φ = 112066560.

The previous prime is 432402419. The next prime is 432402449. The reversal of 432402432 is 234204234.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 945948 + ... + 946404.

Almost surely, 2^432402432 is an apocalyptic number.

432402432 is a gapful number since it is divisible by the number (42) 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 432402432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (720283776).

432402432 is an abundant number, since it is smaller than the sum of its proper divisors (1008165120).

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

432402432 is a wasteful number, since it uses less digits than its factorization.

432402432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

The square root of 432402432 is about 20794.2884465903. The cubic root of 432402432 is about 756.1872943751.

Adding to 432402432 its reverse (234204234), we get a palindrome (666606666).

The spelling of 432402432 in words is "four hundred thirty-two million, four hundred two thousand, four hundred thirty-two".