432884448 has 144 divisors (see below), whose sum is σ = 1305158400. Its totient is φ = 135717120.

The previous prime is 432884401. The next prime is 432884477. The reversal of 432884448 is 844488234.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1307643 + ... + 1307973.

It is an arithmetic number, because the mean of its divisors is an integer number (9063600).

Almost surely, 2^432884448 is an apocalyptic number.

432884448 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 432884448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (652579200).

432884448 is an abundant number, since it is smaller than the sum of its proper divisors (872273952).

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

432884448 is a wasteful number, since it uses less digits than its factorization.

432884448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 605 (or 594 counting only the distinct ones).

The product of its digits is 786432, while the sum is 45.

The square root of 432884448 is about 20805.8753240521. The cubic root of 432884448 is about 756.4681739393.

The spelling of 432884448 in words is "four hundred thirty-two million, eight hundred eighty-four thousand, four hundred forty-eight".