432876096 has 112 divisors (see below), whose sum is σ = 1277802880. Its totient is φ = 143700480.

The previous prime is 432876091. The next prime is 432876131. The reversal of 432876096 is 690678234.

432876096 is a `hidden beast` number, since 4 + 32 + 8 + 7 + 609 + 6 = 666.

It is a super-3 number, since 3×432876096³ (a number of 27 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (432876091) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 685701 + ... + 686331.

Almost surely, 2^432876096 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 432876096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638901440).

432876096 is an abundant number, since it is smaller than the sum of its proper divisors (844926784).

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

432876096 is a wasteful number, since it uses less digits than its factorization.

432876096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1049 (or 1033 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 432876096 is about 20805.6746105480. The cubic root of 432876096 is about 756.4633088512.

The spelling of 432876096 in words is "four hundred thirty-two million, eight hundred seventy-six thousand, ninety-six".