406022016 has 192 divisors, whose sum is σ = 1202102640. Its totient is φ = 120913920.

The previous prime is 406021991. The next prime is 406022027. The reversal of 406022016 is 610220604.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 406021983 and 406022001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9902956 + ... + 9902996.

Almost surely, 2^406022016 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 406022016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601051320).

406022016 is an abundant number, since it is smaller than the sum of its proper divisors (796080624).

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

406022016 is a wasteful number, since it uses less digits than its factorization.

406022016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 406022016 is about 20149.9879900709. The cubic root of 406022016 is about 740.4854472380.

The spelling of 406022016 in words is "four hundred six million, twenty-two thousand, sixteen".