406616616 has 96 divisors (see below), whose sum is σ = 1261690560. Its totient is φ = 115888896.

The previous prime is 406616611. The next prime is 406616629. The reversal of 406616616 is 616616604.

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

It is not an unprimeable number, because it can be changed into a prime (406616611) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 283036 + ... + 284468.

It is an arithmetic number, because the mean of its divisors is an integer number (13142610).

Almost surely, 2^406616616 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 406616616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (630845280).

406616616 is an abundant number, since it is smaller than the sum of its proper divisors (855073944).

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

406616616 is a wasteful number, since it uses less digits than its factorization.

406616616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2015 (or 2008 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 406616616 is about 20164.7369434863. The cubic root of 406616616 is about 740.8467395448.

The spelling of 406616616 in words is "four hundred six million, six hundred sixteen thousand, six hundred sixteen".