432043984 has 40 divisors (see below), whose sum is σ = 888780168. Its totient is φ = 202752000.

The previous prime is 432043981. The next prime is 432044027. The reversal of 432043984 is 489340234.

It can be written as a sum of positive squares in 4 ways, for example, as 46785600 + 385258384 = 6840^2 + 19628^2 .

It is a super-2 number, since 2×432043984² = 373324008221184512, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (432043981) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 105984 + ... + 109984.

Almost surely, 2^432043984 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 432043984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444390084).

432043984 is an abundant number, since it is smaller than the sum of its proper divisors (456736184).

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

432043984 is a wasteful number, since it uses less digits than its factorization.

432043984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4423 (or 4417 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 37.

The square root of 432043984 is about 20785.6677544889. The cubic root of 432043984 is about 755.9782847919.

The spelling of 432043984 in words is "four hundred thirty-two million, forty-three thousand, nine hundred eighty-four".