414542032 has 20 divisors (see below), whose sum is σ = 803492100. Its totient is φ = 207189248.

The previous prime is 414542027. The next prime is 414542071. The reversal of 414542032 is 230245414.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 220106896 + 194435136 = 14836^2 + 13944^2 .

It is a junction number, because it is equal to n+sod(n) for n = 414541988 and 414542006.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 71598 + ... + 77170.

It is an arithmetic number, because the mean of its divisors is an integer number (40174605).

Almost surely, 2^414542032 is an apocalyptic number.

It is an amenable number.

414542032 is a deficient number, since it is larger than the sum of its proper divisors (388950068).

414542032 is a wasteful number, since it uses less digits than its factorization.

414542032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10230 (or 10224 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The square root of 414542032 is about 20360.3053022296. The cubic root of 414542032 is about 745.6291141075.

Adding to 414542032 its reverse (230245414), we get a palindrome (644787446).

The spelling of 414542032 in words is "four hundred fourteen million, five hundred forty-two thousand, thirty-two".