444385152 has 96 divisors (see below), whose sum is σ = 1290861000. Its totient is φ = 146727936.

The previous prime is 444385127. The next prime is 444385159. The reversal of 444385152 is 251583444.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444385159) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 123799 + ... + 127337.

Almost surely, 2^444385152 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 444385152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (645430500).

444385152 is an abundant number, since it is smaller than the sum of its proper divisors (846475848).

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

444385152 is a wasteful number, since it uses less digits than its factorization.

444385152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3668 (or 3653 counting only the distinct ones).

The product of its digits is 76800, while the sum is 36.

The square root of 444385152 is about 21080.4447770914. Note that the first 3 decimals coincide. The cubic root of 444385152 is about 763.1088904068.

The spelling of 444385152 in words is "four hundred forty-four million, three hundred eighty-five thousand, one hundred fifty-two".