164401468 has 36 divisors (see below), whose sum is σ = 365104152. Its totient is φ = 64051680.

The previous prime is 164401459. The next prime is 164401469. The reversal of 164401468 is 864104461.

It is a super-3 number, since 3×164401468³ (a number of 26 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164401469) 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 11 ways as a sum of consecutive naturals, for example, 35971 + ... + 40282.

It is an arithmetic number, because the mean of its divisors is an integer number (10141782).

Almost surely, 2^164401468 is an apocalyptic number.

It is an amenable number.

164401468 is an abundant number, since it is smaller than the sum of its proper divisors (200702684).

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

164401468 is a wasteful number, since it uses less digits than its factorization.

164401468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76282 (or 76273 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 34.

The square root of 164401468 is about 12821.9135857328. The cubic root of 164401468 is about 547.8166532818.

The spelling of 164401468 in words is "one hundred sixty-four million, four hundred one thousand, four hundred sixty-eight".