432014464 has 64 divisors (see below), whose sum is σ = 1006568640. Its totient is φ = 180827136.

The previous prime is 432014447. The next prime is 432014467. The reversal of 432014464 is 464410234.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (432014467) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32922 + ... + 44134.

It is an arithmetic number, because the mean of its divisors is an integer number (15727635).

Almost surely, 2^432014464 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 432014464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503284320).

432014464 is an abundant number, since it is smaller than the sum of its proper divisors (574554176).

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

432014464 is a wasteful number, since it uses less digits than its factorization.

432014464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11277 (or 11265 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

The square root of 432014464 is about 20784.9576376763. The cubic root of 432014464 is about 755.9610666474.

Adding to 432014464 its reverse (464410234), we get a palindrome (896424698).

The spelling of 432014464 in words is "four hundred thirty-two million, fourteen thousand, four hundred sixty-four".