414079332 has 48 divisors (see below), whose sum is σ = 979749120. Its totient is φ = 136103328.

The previous prime is 414079291. The next prime is 414079333. The reversal of 414079332 is 233970414.

It is a junction number, because it is equal to n+sod(n) for n = 414079293 and 414079302.

It is not an unprimeable number, because it can be changed into a prime (414079333) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 271123 + ... + 272645.

It is an arithmetic number, because the mean of its divisors is an integer number (20411440).

Almost surely, 2^414079332 is an apocalyptic number.

It is an amenable number.

414079332 is an abundant number, since it is smaller than the sum of its proper divisors (565669788).

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

414079332 is a wasteful number, since it uses less digits than its factorization.

414079332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1832 (or 1830 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 414079332 is about 20348.9393335378. The cubic root of 414079332 is about 745.3515941740.

The spelling of 414079332 in words is "four hundred fourteen million, seventy-nine thousand, three hundred thirty-two".