406510016 has 56 divisors (see below), whose sum is σ = 926348160. Its totient is φ = 175046400.

The previous prime is 406509991. The next prime is 406510019. The reversal of 406510016 is 610015604.

It is a junction number, because it is equal to n+sod(n) for n = 406509973 and 406510000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406510019) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1820 + ... + 28571.

Almost surely, 2^406510016 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 406510016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463174080).

406510016 is an abundant number, since it is smaller than the sum of its proper divisors (519838144).

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

406510016 is a wasteful number, since it uses less digits than its factorization.

406510016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30433 (or 30423 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 406510016 is about 20162.0935420903. The cubic root of 406510016 is about 740.7819929164.

The spelling of 406510016 in words is "four hundred six million, five hundred ten thousand, sixteen".