164439414 has 48 divisors (see below), whose sum is σ = 376584000. Its totient is φ = 51714288.

The previous prime is 164439391. The next prime is 164439421. The reversal of 164439414 is 414934461.

It is a happy number.

164439414 is a `hidden beast` number, since 1 + 644 + 3 + 9 + 4 + 1 + 4 = 666.

It is a super-3 number, since 3×164439414³ (a number of 26 digits) contains 333 as substring.

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, 95937 + ... + 97635.

It is an arithmetic number, because the mean of its divisors is an integer number (7845500).

Almost surely, 2^164439414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164439414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188292000).

164439414 is an abundant number, since it is smaller than the sum of its proper divisors (212144586).

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

164439414 is a wasteful number, since it uses less digits than its factorization.

164439414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2009 (or 2006 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 164439414 is about 12823.3932326822. The cubic root of 164439414 is about 547.8587977790.

The spelling of 164439414 in words is "one hundred sixty-four million, four hundred thirty-nine thousand, four hundred fourteen".