416273407 has 16 divisors (see below), whose sum is σ = 491069952. Its totient is φ = 348584320.

The previous prime is 416273399. The next prime is 416273423. The reversal of 416273407 is 704372614.

It is not a de Polignac number, because 416273407 - 2³ = 416273399 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (416271407) 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, 14893 + ... + 32470.

It is an arithmetic number, because the mean of its divisors is an integer number (30691872).

Almost surely, 2^416273407 is an apocalyptic number.

416273407 is a gapful number since it is divisible by the number (47) formed by its first and last digit.

416273407 is a deficient number, since it is larger than the sum of its proper divisors (74796545).

416273407 is a wasteful number, since it uses less digits than its factorization.

416273407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47438.

The product of its (nonzero) digits is 28224, while the sum is 34.

The square root of 416273407 is about 20402.7793939943. The cubic root of 416273407 is about 746.6657363624.

The spelling of 416273407 in words is "four hundred sixteen million, two hundred seventy-three thousand, four hundred seven".