406000056 has 256 divisors, whose sum is σ = 1378713600. Its totient is φ = 96422400.

The previous prime is 406000031. The next prime is 406000057. The reversal of 406000056 is 650000604.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 405999996 and 406000041.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406000057) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1088286 + ... + 1088658.

It is an arithmetic number, because the mean of its divisors is an integer number (5385600).

Almost surely, 2^406000056 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 406000056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (689356800).

406000056 is an abundant number, since it is smaller than the sum of its proper divisors (972713544).

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

406000056 is a wasteful number, since it uses less digits than its factorization.

406000056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 406000056 is about 20149.4430692265. The cubic root of 406000056 is about 740.4720970969.

The spelling of 406000056 in words is "four hundred six million, fifty-six", and thus it is an aban number.