416282409 has 15 divisors (see below), whose sum is σ = 622128397. Its totient is φ = 277399188.

The previous prime is 416282407. The next prime is 416282413. The reversal of 416282409 is 904282614.

The square root of 416282409 is 20403.

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

416282409 is a `hidden beast` number, since 4 + 1 + 628 + 24 + 0 + 9 = 666.

It is not a de Polignac number, because 416282409 - 2¹ = 416282407 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (416282407) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 182494 + ... + 184760.

Almost surely, 2^416282409 is an apocalyptic number.

416282409 is the 20403-rd square number.

416282409 is the 10202-nd centered octagonal number.

It is an amenable number.

416282409 is a deficient number, since it is larger than the sum of its proper divisors (205845988).

416282409 is an frugal number, since it uses more digits than its factorization.

416282409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4546 (or 2270 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The cubic root of 416282409 is about 746.6711185915.

Multiplying 416282409 by its sum of digits (36), we get a square (14986166724 = 122418²).

The spelling of 416282409 in words is "four hundred sixteen million, two hundred eighty-two thousand, four hundred nine".