444068352 has 320 divisors, whose sum is σ = 1622396160. Its totient is φ = 116785152.

The previous prime is 444068341. The next prime is 444068357. The reversal of 444068352 is 253860444.

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

It is not an unprimeable number, because it can be changed into a prime (444068357) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1257808 + ... + 1258160.

It is an arithmetic number, because the mean of its divisors is an integer number (5069988).

Almost surely, 2^444068352 is an apocalyptic number.

444068352 is a gapful number since it is divisible by the number (42) 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 444068352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (811198080).

444068352 is an abundant number, since it is smaller than the sum of its proper divisors (1178327808).

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

444068352 is a wasteful number, since it uses less digits than its factorization.

444068352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 444068352 is about 21072.9293644714. The cubic root of 444068352 is about 762.9275084335.

The spelling of 444068352 in words is "four hundred forty-four million, sixty-eight thousand, three hundred fifty-two".