414442032 has 40 divisors (see below), whose sum is σ = 1099582896. Its totient is φ = 134413056.

The previous prime is 414441971. The next prime is 414442043. The reversal of 414442032 is 230244414.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 414441993 and 414442011.

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 7 ways as a sum of consecutive naturals, for example, 114903 + ... + 118454.

Almost surely, 2^414442032 is an apocalyptic number.

It is an amenable number.

414442032 is an abundant number, since it is smaller than the sum of its proper divisors (685140864).

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

414442032 is a wasteful number, since it uses less digits than its factorization.

414442032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233405 (or 233399 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 414442032 is about 20357.8493952578. The cubic root of 414442032 is about 745.5691532333.

Adding to 414442032 its reverse (230244414), we get a palindrome (644686446).

The spelling of 414442032 in words is "four hundred fourteen million, four hundred forty-two thousand, thirty-two".