414432132 has 24 divisors (see below), whose sum is σ = 967443456. Its totient is φ = 138081888.

The previous prime is 414432131. The next prime is 414432167. The reversal of 414432132 is 231234414.

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

It is not an unprimeable number, because it can be changed into a prime (414432131) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25818 + ... + 38670.

It is an arithmetic number, because the mean of its divisors is an integer number (40310144).

Almost surely, 2^414432132 is an apocalyptic number.

It is an amenable number.

414432132 is an abundant number, since it is smaller than the sum of its proper divisors (553011324).

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

414432132 is a wasteful number, since it uses less digits than its factorization.

414432132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15547 (or 15545 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 414432132 is about 20357.6062443500. The cubic root of 414432132 is about 745.5632165821.

Adding to 414432132 its reverse (231234414), we get a palindrome (645666546).

The spelling of 414432132 in words is "four hundred fourteen million, four hundred thirty-two thousand, one hundred thirty-two".