432531456 has 192 divisors, whose sum is σ = 1344470400. Its totient is φ = 121110528.

The previous prime is 432531413. The next prime is 432531461. The reversal of 432531456 is 654135234.

It is a tau number, because it is divible by the number of its divisors (192).

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, 3827656 + ... + 3827768.

It is an arithmetic number, because the mean of its divisors is an integer number (7002450).

Almost surely, 2^432531456 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 432531456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672235200).

432531456 is an abundant number, since it is smaller than the sum of its proper divisors (911938944).

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

432531456 is a wasteful number, since it uses less digits than its factorization.

432531456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 214 counting only the distinct ones).

The product of its digits is 43200, while the sum is 33.

The square root of 432531456 is about 20797.3906055543. The cubic root of 432531456 is about 756.2624994769.

The spelling of 432531456 in words is "four hundred thirty-two million, five hundred thirty-one thousand, four hundred fifty-six".