164044440 has 192 divisors, whose sum is σ = 632136960. Its totient is φ = 37480320.

The previous prime is 164044427. The next prime is 164044457. The reversal of 164044440 is 44440461.

164044440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 66835 + ... + 69245.

It is an arithmetic number, because the mean of its divisors is an integer number (3292380).

Almost surely, 2^164044440 is an apocalyptic number.

164044440 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 164044440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316068480).

164044440 is an abundant number, since it is smaller than the sum of its proper divisors (468092520).

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

164044440 is a wasteful number, since it uses less digits than its factorization.

164044440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2444 (or 2428 counting only the distinct ones).

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

The square root of 164044440 is about 12807.9834478344. The cubic root of 164044440 is about 547.4198043544.

The spelling of 164044440 in words is "one hundred sixty-four million, forty-four thousand, four hundred forty".