432541032 has 192 divisors, whose sum is σ = 1420804800. Its totient is φ = 108380160.

The previous prime is 432540991. The next prime is 432541033. The reversal of 432541032 is 230145234.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a junction number, because it is equal to n+sod(n) for n = 432540993 and 432541011.

It is not an unprimeable number, because it can be changed into a prime (432541033) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 374568 + ... + 375720.

It is an arithmetic number, because the mean of its divisors is an integer number (7400025).

Almost surely, 2^432541032 is an apocalyptic number.

432541032 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 432541032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (710402400).

432541032 is an abundant number, since it is smaller than the sum of its proper divisors (988263768).

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

432541032 is a wasteful number, since it uses less digits than its factorization.

432541032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1216 (or 1205 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 432541032 is about 20797.6208254694. The cubic root of 432541032 is about 756.2680805094.

Adding to 432541032 its reverse (230145234), we get a palindrome (662686266).

The spelling of 432541032 in words is "four hundred thirty-two million, five hundred forty-one thousand, thirty-two".