406618660 has 72 divisors (see below), whose sum is σ = 1005480000. Its totient is φ = 137704896.

The previous prime is 406618651. The next prime is 406618669. The reversal of 406618660 is 66816604.

It is an interprime number because it is at equal distance from previous prime (406618651) and next prime (406618669).

It is not an unprimeable number, because it can be changed into a prime (406618669) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 78841 + ... + 83839.

It is an arithmetic number, because the mean of its divisors is an integer number (13965000).

Almost surely, 2^406618660 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 406618660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502740000).

406618660 is an abundant number, since it is smaller than the sum of its proper divisors (598861340).

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

406618660 is a wasteful number, since it uses less digits than its factorization.

406618660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5105 (or 5096 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The square root of 406618660 is about 20164.7876259583. The cubic root of 406618660 is about 740.8479809175.

The spelling of 406618660 in words is "four hundred six million, six hundred eighteen thousand, six hundred sixty".