432796416 has 144 divisors (see below), whose sum is σ = 1260935424. Its totient is φ = 130977792.

The previous prime is 432796379. The next prime is 432796423. The reversal of 432796416 is 614697234.

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, 668605 + ... + 669251.

It is an arithmetic number, because the mean of its divisors is an integer number (8756496).

Almost surely, 2^432796416 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 432796416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (630467712).

432796416 is an abundant number, since it is smaller than the sum of its proper divisors (828139008).

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

432796416 is a wasteful number, since it uses less digits than its factorization.

432796416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 746 (or 732 counting only the distinct ones).

The product of its digits is 217728, while the sum is 42.

The square root of 432796416 is about 20803.7596602153. The cubic root of 432796416 is about 756.4168916465.

The spelling of 432796416 in words is "four hundred thirty-two million, seven hundred ninety-six thousand, four hundred sixteen".