416273409 has 12 divisors (see below), whose sum is σ = 602659200. Its totient is φ = 276880824.

The previous prime is 416273399. The next prime is 416273423. The reversal of 416273409 is 904372614.

It is not a de Polignac number, because 416273409 - 2¹⁶ = 416207873 is a prime.

It is not an unprimeable number, because it can be changed into a prime (416273609) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 48729 + ... + 56630.

It is an arithmetic number, because the mean of its divisors is an integer number (50221600).

Almost surely, 2^416273409 is an apocalyptic number.

It is an amenable number.

416273409 is a deficient number, since it is larger than the sum of its proper divisors (186385791).

416273409 is a wasteful number, since it uses less digits than its factorization.

416273409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105804 (or 105801 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 416273409 is about 20402.7794430073. The cubic root of 416273409 is about 746.6657375582.

The spelling of 416273409 in words is "four hundred sixteen million, two hundred seventy-three thousand, four hundred nine".