432353376 has 432 divisors, whose sum is σ = 1611477504. Its totient is φ = 111601152.

The previous prime is 432353321. The next prime is 432353387. The reversal of 432353376 is 673353234.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (136080) is a multiple of the sum of its prime divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 432353376.

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 9198985 + ... + 9199031.

It is an arithmetic number, because the mean of its divisors is an integer number (3730272).

Almost surely, 2^432353376 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 432353376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (805738752).

432353376 is an abundant number, since it is smaller than the sum of its proper divisors (1179124128).

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

432353376 is a wasteful number, since it uses less digits than its factorization.

432353376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 72 counting only the distinct ones).

The product of its digits is 136080, while the sum is 36.

The square root of 432353376 is about 20793.1088584656. The cubic root of 432353376 is about 756.1586968433.

The spelling of 432353376 in words is "four hundred thirty-two million, three hundred fifty-three thousand, three hundred seventy-six".