432654432 has 96 divisors (see below), whose sum is σ = 1313770752. Its totient is φ = 122110464.

The previous prime is 432654389. The next prime is 432654461. The reversal of 432654432 is 234456234.

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

It is a junction number, because it is equal to n+sod(n) for n = 432654393 and 432654402.

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, 51898 + ... + 59654.

It is an arithmetic number, because the mean of its divisors is an integer number (13685112).

Almost surely, 2^432654432 is an apocalyptic number.

432654432 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 432654432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656885376).

432654432 is an abundant number, since it is smaller than the sum of its proper divisors (881116320).

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

432654432 is a wasteful number, since it uses less digits than its factorization.

432654432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7860 (or 7852 counting only the distinct ones).

The product of its digits is 69120, while the sum is 33.

The square root of 432654432 is about 20800.3469201838. The cubic root of 432654432 is about 756.3341654203.

The spelling of 432654432 in words is "four hundred thirty-two million, six hundred fifty-four thousand, four hundred thirty-two".