432886464 has 112 divisors (see below), whose sum is σ = 1291945600. Its totient is φ = 142103808.

The previous prime is 432886463. The next prime is 432886471. The reversal of 432886464 is 464688234.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (432886463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 113907 + ... + 117645.

Almost surely, 2^432886464 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 432886464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (645972800).

432886464 is an abundant number, since it is smaller than the sum of its proper divisors (859059136).

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

432886464 is a wasteful number, since it uses less digits than its factorization.

432886464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3827 (or 3811 counting only the distinct ones).

The product of its digits is 884736, while the sum is 45.

The square root of 432886464 is about 20805.9237718492. The cubic root of 432886464 is about 756.4693482615.

The spelling of 432886464 in words is "four hundred thirty-two million, eight hundred eighty-six thousand, four hundred sixty-four".