414340432 has 80 divisors (see below), whose sum is σ = 913923648. Its totient is φ = 180311040.

The previous prime is 414340417. The next prime is 414340453. The reversal of 414340432 is 234043414.

It is a junction number, because it is equal to n+sod(n) for n = 414340397 and 414340406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 400588 + ... + 401620.

Almost surely, 2^414340432 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 414340432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456961824).

414340432 is an abundant number, since it is smaller than the sum of its proper divisors (499583216).

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

414340432 is a wasteful number, since it uses less digits than its factorization.

414340432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1148 (or 1142 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

The square root of 414340432 is about 20355.3538903159. The cubic root of 414340432 is about 745.5082231064.

Adding to 414340432 its reverse (234043414), we get a palindrome (648383846).

The spelling of 414340432 in words is "four hundred fourteen million, three hundred forty thousand, four hundred thirty-two".