432448016 has 240 divisors, whose sum is σ = 1185067008. Its totient is φ = 148262400.

The previous prime is 432447991. The next prime is 432448021. The reversal of 432448016 is 610844234.

It is a super-2 number, since 2×432448016² = 374022573084672512, which contains 22 as substring.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6454415 + ... + 6454481.

Almost surely, 2^432448016 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 432448016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592533504).

432448016 is an abundant number, since it is smaller than the sum of its proper divisors (752618992).

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

432448016 is a wasteful number, since it uses less digits than its factorization.

432448016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

The square root of 432448016 is about 20795.3844879098. The cubic root of 432448016 is about 756.2138659419.

The spelling of 432448016 in words is "four hundred thirty-two million, four hundred forty-eight thousand, sixteen".