214163406 has 64 divisors (see below), whose sum is σ = 489162240. Its totient is φ = 69431040.

The previous prime is 214163401. The next prime is 214163429. The reversal of 214163406 is 604361412.

214163406 is a `hidden beast` number, since 21 + 4 + 1 + 634 + 0 + 6 = 666.

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 214163406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214163401) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 317886 + ... + 318558.

It is an arithmetic number, because the mean of its divisors is an integer number (7643160).

Almost surely, 2^214163406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214163406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244581120).

214163406 is an abundant number, since it is smaller than the sum of its proper divisors (274998834).

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

214163406 is a wasteful number, since it uses less digits than its factorization.

214163406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 838 (or 832 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 214163406 is about 14634.3228746669. The cubic root of 214163406 is about 598.2946073188.

The spelling of 214163406 in words is "two hundred fourteen million, one hundred sixty-three thousand, four hundred six".