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444164292 = 22321113192239

444164292 has 216 divisors, whose sum is σ = 1397934720. Its totient is φ = 117210240.

The previous prime is 444164269. The next prime is 444164299. The reversal of 444164292 is 292461444.

It is a happy number.

444164292 is a `hidden beast` number, since 4 + 4 + 4 + 1 + 642 + 9 + 2 = 666.

It is a super-2 number, since 2×4441642922 = 394563836575722528, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (444164299) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1858309 + ... + 1858547.

It is an arithmetic number, because the mean of its divisors is an integer number (6471920).

Almost surely, 2444164292 is an apocalyptic number.

444164292 is the 17208-th pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 444164292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (698967360).

444164292 is an abundant number, since it is smaller than the sum of its proper divisors (953770428).

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

444164292 is a wasteful number, since it uses less digits than its factorization.

444164292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 287 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 444164292 is about 21075.2056217727. The cubic root of 444164292 is about 762.9824474192.

The spelling of 444164292 in words is "four hundred forty-four million, one hundred sixty-four thousand, two hundred ninety-two".