416622816 has 144 divisors (see below), whose sum is σ = 1242455760. Its totient is φ = 132249600.

The previous prime is 416622809. The next prime is 416622821. The reversal of 416622816 is 618226614.

416622816 is a `hidden beast` number, since 4 + 16 + 622 + 8 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 692916 + ... + 693516.

It is an arithmetic number, because the mean of its divisors is an integer number (8628165).

Almost surely, 2^416622816 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 416622816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (621227880).

416622816 is an abundant number, since it is smaller than the sum of its proper divisors (825832944).

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

416622816 is a wasteful number, since it uses less digits than its factorization.

416622816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 729 (or 718 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 416622816 is about 20411.3403773491. The cubic root of 416622816 is about 746.8745884955.

The spelling of 416622816 in words is "four hundred sixteen million, six hundred twenty-two thousand, eight hundred sixteen".