406647216 has 100 divisors (see below), whose sum is σ = 1204491112. Its totient is φ = 132378624.

The previous prime is 406647209. The next prime is 406647223. The reversal of 406647216 is 612746604.

406647216 is a `hidden beast` number, since 4 + 0 + 6 + 647 + 2 + 1 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (406647209) and next prime (406647223).

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 52080 + ... + 59376.

Almost surely, 2^406647216 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 406647216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602245556).

406647216 is an abundant number, since it is smaller than the sum of its proper divisors (797843896).

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

406647216 is a wasteful number, since it uses less digits than its factorization.

406647216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7360 (or 7345 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 406647216 is about 20165.4956795017. The cubic root of 406647216 is about 740.8653232596.

The spelling of 406647216 in words is "four hundred six million, six hundred forty-seven thousand, two hundred sixteen".