406839840 has 192 divisors, whose sum is σ = 1446802560. Its totient is φ = 95191040.

The previous prime is 406839821. The next prime is 406839857. The reversal of 406839840 is 48938604.

It is a super-2 number, since 2×406839840² = 331037310822451200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 406839792 and 406839801.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 151792 + ... + 154448.

It is an arithmetic number, because the mean of its divisors is an integer number (7535430).

Almost surely, 2^406839840 is an apocalyptic number.

406839840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 406839840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (723401280).

406839840 is an abundant number, since it is smaller than the sum of its proper divisors (1039962720).

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

406839840 is a wasteful number, since it uses less digits than its factorization.

406839840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2715 (or 2707 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 406839840 is about 20170.2711930207. The cubic root of 406839840 is about 740.9822845217.

The spelling of 406839840 in words is "four hundred six million, eight hundred thirty-nine thousand, eight hundred forty".