406414206 has 128 divisors (see below), whose sum is σ = 1053803520. Its totient is φ = 114739200.

The previous prime is 406414187. The next prime is 406414219. The reversal of 406414206 is 602414604.

406414206 is a `hidden beast` number, since 40 + 6 + 414 + 206 = 666.

It is a super-2 number, since 2×406414206² = 330345013677220872, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 406414206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1686246 + ... + 1686486.

It is an arithmetic number, because the mean of its divisors is an integer number (8232840).

Almost surely, 2^406414206 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 406414206, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526901760).

406414206 is an abundant number, since it is smaller than the sum of its proper divisors (647389314).

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

406414206 is a wasteful number, since it uses less digits than its factorization.

406414206 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 406414206 is about 20159.7174087337. The cubic root of 406414206 is about 740.7237902509.

The spelling of 406414206 in words is "four hundred six million, four hundred fourteen thousand, two hundred six".