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444395484 = 22361319617
BaseRepresentation
bin11010011111001…
…110111111011100
31010222012122000000
4122133032333130
51402231123414
6112032534300
714004204441
oct3237167734
91128178000
10444395484
112089389a5
121049b1390
13710b6a10
144303d9c8
1529032b09
hex1a7cefdc

444395484 has 168 divisors, whose sum is σ = 1323929040. Its totient is φ = 129330432.

The previous prime is 444395477. The next prime is 444395491. The reversal of 444395484 is 484593444.

444395484 is a `hidden beast` number, since 44 + 43 + 95 + 484 = 666.

It is an interprime number because it is at equal distance from previous prime (444395477) and next prime (444395491).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 719944 + ... + 720560.

It is an arithmetic number, because the mean of its divisors is an integer number (7880530).

Almost surely, 2444395484 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 444395484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661964520).

444395484 is an abundant number, since it is smaller than the sum of its proper divisors (879533556).

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

444395484 is a wasteful number, since it uses less digits than its factorization.

444395484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 671 (or 654 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 45.

The square root of 444395484 is about 21080.6898369100. The cubic root of 444395484 is about 763.1148044808.

The spelling of 444395484 in words is "four hundred forty-four million, three hundred ninety-five thousand, four hundred eighty-four".