406683180 has 120 divisors (see below), whose sum is σ = 1350917568. Its totient is φ = 102062592.

The previous prime is 406683149. The next prime is 406683191. The reversal of 406683180 is 81386604.

It is a happy number.

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 39 ways as a sum of consecutive naturals, for example, 20157 + ... + 34923.

Almost surely, 2^406683180 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 406683180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (675458784).

406683180 is an abundant number, since it is smaller than the sum of its proper divisors (944234388).

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

406683180 is a wasteful number, since it uses less digits than its factorization.

406683180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14805 (or 14794 counting only the distinct ones).

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

The square root of 406683180 is about 20166.3873809862. The cubic root of 406683180 is about 740.8871633985.

The spelling of 406683180 in words is "four hundred six million, six hundred eighty-three thousand, one hundred eighty".