406824474056 has 192 divisors, whose sum is σ = 1086249091200. Its totient is φ = 138609377280.

The previous prime is 406824473983. The next prime is 406824474101. The reversal of 406824474056 is 650474428604.

It is a super-2 number, since 2×406824474056² (a number of 24 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (50) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 406824473995 and 406824474013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1552136 + ... + 1795208.

It is an arithmetic number, because the mean of its divisors is an integer number (5657547350).

Almost surely, 2^406824474056 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 406824474056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543124545600).

406824474056 is an abundant number, since it is smaller than the sum of its proper divisors (679424617144).

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

406824474056 is a wasteful number, since it uses less digits than its factorization.

406824474056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243140 (or 243125 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 50.

The spelling of 406824474056 in words is "four hundred six billion, eight hundred twenty-four million, four hundred seventy-four thousand, fifty-six".