406985984 has 54 divisors (see below), whose sum is σ = 863137254. Its totient is φ = 191488000.

The previous prime is 406985963. The next prime is 406986007. The reversal of 406985984 is 489589604.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 293094400 + 113891584 = 17120^2 + 10672^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 71234 + ... + 76734.

Almost surely, 2^406985984 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 406985984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431568627).

406985984 is an abundant number, since it is smaller than the sum of its proper divisors (456151270).

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

406985984 is an equidigital number, since it uses as much as digits as its factorization.

406985984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5551 (or 5520 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 53.

The square root of 406985984 is about 20173.8936251781. The cubic root of 406985984 is about 741.0709985072.

The spelling of 406985984 in words is "four hundred six million, nine hundred eighty-five thousand, nine hundred eighty-four".