164422440 has 384 divisors, whose sum is σ = 689472000. Its totient is φ = 34546176.

The previous prime is 164422429. The next prime is 164422441. The reversal of 164422440 is 44224461.

It is a happy number.

It is a super-3 number, since 3×164422440³ (a number of 26 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (164422441) 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 95 ways as a sum of consecutive naturals, for example, 687841 + ... + 688079.

It is an arithmetic number, because the mean of its divisors is an integer number (1795500).

Almost surely, 2^164422440 is an apocalyptic number.

164422440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164422440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344736000).

164422440 is an abundant number, since it is smaller than the sum of its proper divisors (525049560).

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

164422440 is a wasteful number, since it uses less digits than its factorization.

164422440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 164422440 is about 12822.7313782985. The cubic root of 164422440 is about 547.8399465093.

The spelling of 164422440 in words is "one hundred sixty-four million, four hundred twenty-two thousand, four hundred forty".