416673792 has 156 divisors (see below), whose sum is σ = 1226684160. Its totient is φ = 136249344.

The previous prime is 416673749. The next prime is 416673809. The reversal of 416673792 is 297376614.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3280833 + ... + 3280959.

It is an arithmetic number, because the mean of its divisors is an integer number (7863360).

Almost surely, 2^416673792 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 416673792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613342080).

416673792 is an abundant number, since it is smaller than the sum of its proper divisors (810010368).

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

416673792 is a wasteful number, since it uses less digits than its factorization.

416673792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 221 counting only the distinct ones).

The product of its digits is 381024, while the sum is 45.

The square root of 416673792 is about 20412.5890567561. The cubic root of 416673792 is about 746.9050486023.

The spelling of 416673792 in words is "four hundred sixteen million, six hundred seventy-three thousand, seven hundred ninety-two".