414407449 has 3 divisors (see below), whose sum is σ = 414427807. Its totient is φ = 414387092.

The previous prime is 414407431. The next prime is 414407467. The reversal of 414407449 is 944704414.

The square root of 414407449 is 20357.

It is a perfect power (a square), and thus also a powerful number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It is an interprime number because it is at equal distance from previous prime (414407431) and next prime (414407467).

It can be written as a sum of positive squares in only one way, i.e., 241958025 + 172449424 = 15555^2 + 13132^2 .

It is not a de Polignac number, because 414407449 - 2¹¹ = 414405401 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (414407429) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 10179 + ... + 30535.

Almost surely, 2^414407449 is an apocalyptic number.

414407449 is the 20357-th square number.

414407449 is the 10179-th centered octagonal number.

It is an amenable number.

414407449 is a deficient number, since it is larger than the sum of its proper divisors (20358).

414407449 is an frugal number, since it uses more digits than its factorization.

414407449 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40714 (or 20357 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 37.

The cubic root of 414407449 is about 745.5484147197.

The spelling of 414407449 in words is "four hundred fourteen million, four hundred seven thousand, four hundred forty-nine".