432138336 has 96 divisors (see below), whose sum is σ = 1299674880. Its totient is φ = 123158016.

The previous prime is 432138331. The next prime is 432138341. The reversal of 432138336 is 633831234.

It is an interprime number because it is at equal distance from previous prime (432138331) and next prime (432138341).

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a junction number, because it is equal to n+sod(n) for n = 432138297 and 432138306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (432138331) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 475995 + ... + 476901.

It is an arithmetic number, because the mean of its divisors is an integer number (13538280).

Almost surely, 2^432138336 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 432138336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (649837440).

432138336 is an abundant number, since it is smaller than the sum of its proper divisors (867536544).

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

432138336 is a wasteful number, since it uses less digits than its factorization.

432138336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1636 (or 1628 counting only the distinct ones).

The product of its digits is 31104, while the sum is 33.

The square root of 432138336 is about 20787.9372714081. The cubic root of 432138336 is about 756.0333122691.

The spelling of 432138336 in words is "four hundred thirty-two million, one hundred thirty-eight thousand, three hundred thirty-six".