432327672 has 256 divisors, whose sum is σ = 1468800000. Its totient is φ = 115084800.

The previous prime is 432327659. The next prime is 432327673. The reversal of 432327672 is 276723234.

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

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

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (432327673) 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, 2901454 + ... + 2901602.

It is an arithmetic number, because the mean of its divisors is an integer number (5737500).

Almost surely, 2^432327672 is an apocalyptic number.

432327672 is a gapful number since it is divisible by the number (42) 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 432327672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (734400000).

432327672 is an abundant number, since it is smaller than the sum of its proper divisors (1036472328).

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

432327672 is a wasteful number, since it uses less digits than its factorization.

432327672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 281 counting only the distinct ones).

The product of its digits is 84672, while the sum is 36.

The square root of 432327672 is about 20792.4907598873. The cubic root of 432327672 is about 756.1437116565.

The spelling of 432327672 in words is "four hundred thirty-two million, three hundred twenty-seven thousand, six hundred seventy-two".