406006824 has 16 divisors (see below), whose sum is σ = 1015017120. Its totient is φ = 135335600.

The previous prime is 406006819. The next prime is 406006847. The reversal of 406006824 is 428600604.

It is a super-2 number, since 2×406006824² = 329683082269133952, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 406006791 and 406006800.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8458452 + ... + 8458499.

It is an arithmetic number, because the mean of its divisors is an integer number (63438570).

Almost surely, 2^406006824 is an apocalyptic number.

It is an amenable number.

406006824 is an abundant number, since it is smaller than the sum of its proper divisors (609010296).

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

406006824 is a wasteful number, since it uses less digits than its factorization.

406006824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16916960 (or 16916956 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 406006824 is about 20149.6110136151. The cubic root of 406006824 is about 740.4762116179.

The spelling of 406006824 in words is "four hundred six million, six thousand, eight hundred twenty-four".