432321084 has 192 divisors, whose sum is σ = 1303948800. Its totient is φ = 122674176.

The previous prime is 432321073. The next prime is 432321089. The reversal of 432321084 is 480123234.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (432321089) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1408059 + ... + 1408365.

It is an arithmetic number, because the mean of its divisors is an integer number (6791400).

Almost surely, 2^432321084 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 432321084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (651974400).

432321084 is an abundant number, since it is smaller than the sum of its proper divisors (871627716).

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

432321084 is a wasteful number, since it uses less digits than its factorization.

432321084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 432321084 is about 20792.3323367053. The cubic root of 432321084 is about 756.1398708197.

The spelling of 432321084 in words is "four hundred thirty-two million, three hundred twenty-one thousand, eighty-four".