416443016 has 96 divisors (see below), whose sum is σ = 936917280. Its totient is φ = 171494400.

The previous prime is 416443009. The next prime is 416443061. The reversal of 416443016 is 610344614.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a self number, because there is not a number n which added to its sum of digits gives 416443016.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1257971 + ... + 1258301.

It is an arithmetic number, because the mean of its divisors is an integer number (9759555).

Almost surely, 2^416443016 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 416443016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468458640).

416443016 is an abundant number, since it is smaller than the sum of its proper divisors (520474264).

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

416443016 is a wasteful number, since it uses less digits than its factorization.

416443016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

The square root of 416443016 is about 20406.9354877208. The cubic root of 416443016 is about 746.7671312876.

The spelling of 416443016 in words is "four hundred sixteen million, four hundred forty-three thousand, sixteen".