413473416 has 64 divisors (see below), whose sum is σ = 1087560000. Its totient is φ = 130803456.

The previous prime is 413473391. The next prime is 413473427. The reversal of 413473416 is 614374314.

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 15 ways as a sum of consecutive naturals, for example, 36030 + ... + 46098.

It is an arithmetic number, because the mean of its divisors is an integer number (16993125).

Almost surely, 2^413473416 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 413473416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543780000).

413473416 is an abundant number, since it is smaller than the sum of its proper divisors (674086584).

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

413473416 is a wasteful number, since it uses less digits than its factorization.

413473416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10166 (or 10162 counting only the distinct ones).

The product of its digits is 24192, while the sum is 33.

The square root of 413473416 is about 20334.0457361539. The cubic root of 413473416 is about 744.9878628114.

The spelling of 413473416 in words is "four hundred thirteen million, four hundred seventy-three thousand, four hundred sixteen".