164400444 has 72 divisors (see below), whose sum is σ = 452677680. Its totient is φ = 50003712.

The previous prime is 164400419. The next prime is 164400461. The reversal of 164400444 is 444004461.

164400444 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×164400444³ (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, 39679 + ... + 43625.

It is an arithmetic number, because the mean of its divisors is an integer number (6287190).

Almost surely, 2^164400444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164400444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226338840).

164400444 is an abundant number, since it is smaller than the sum of its proper divisors (288277236).

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

164400444 is a wasteful number, since it uses less digits than its factorization.

164400444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4059 (or 4054 counting only the distinct ones).

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

The square root of 164400444 is about 12821.8736540336. The cubic root of 164400444 is about 547.8155158925.

The spelling of 164400444 in words is "one hundred sixty-four million, four hundred thousand, four hundred forty-four".