432448 has 28 divisors (see below), whose sum is σ = 891540. Its totient is φ = 207872.

The previous prime is 432437. The next prime is 432449. The reversal of 432448 is 844234.

It can be written as a sum of positive squares in 2 ways, for example, as 153664 + 278784 = 392^2 + 528^2 .

It is a super-2 number, since 2×432448² = 374022545408, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (432449) by changing a digit.

432448 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 3 ways as a sum of consecutive naturals, for example, 1740 + ... + 1972.

2⁴³²⁴⁴⁸ 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 432448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445770).

432448 is an abundant number, since it is smaller than the sum of its proper divisors (459092).

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

432448 is a wasteful number, since it uses less digits than its factorization.

432448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 264 counting only the distinct ones).

The product of its digits is 3072, while the sum is 25.

The square root of 432448 is about 657.6077858420. The cubic root of 432448 is about 75.6213856616.

The spelling of 432448 in words is "four hundred thirty-two thousand, four hundred forty-eight".