416224326 has 64 divisors (see below), whose sum is σ = 975744000. Its totient is φ = 118315008.

The previous prime is 416224283. The next prime is 416224349. The reversal of 416224326 is 623422614.

It is a junction number, because it is equal to n+sod(n) for n = 416224293 and 416224302.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 540870 + ... + 541638.

It is an arithmetic number, because the mean of its divisors is an integer number (15246000).

Almost surely, 2^416224326 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 416224326, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487872000).

416224326 is an abundant number, since it is smaller than the sum of its proper divisors (559519674).

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

416224326 is a wasteful number, since it uses less digits than its factorization.

416224326 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1058 (or 1044 counting only the distinct ones).

The product of its digits is 13824, while the sum is 30.

The square root of 416224326 is about 20401.5765567272. The cubic root of 416224326 is about 746.6363898313.

The spelling of 416224326 in words is "four hundred sixteen million, two hundred twenty-four thousand, three hundred twenty-six".