406884672 has 84 divisors (see below), whose sum is σ = 1203935616. Its totient is φ = 131247360.

The previous prime is 406884659. The next prime is 406884679. The reversal of 406884672 is 276488604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406884679) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6463 + ... + 29249.

Almost surely, 2^406884672 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 406884672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601967808).

406884672 is an abundant number, since it is smaller than the sum of its proper divisors (797050944).

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

406884672 is a wasteful number, since it uses less digits than its factorization.

406884672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22836 (or 22823 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The square root of 406884672 is about 20171.3825009591. The cubic root of 406884672 is about 741.0095012086.

The spelling of 406884672 in words is "four hundred six million, eight hundred eighty-four thousand, six hundred seventy-two".