444387456 has 96 divisors (see below), whose sum is σ = 1308655920. Its totient is φ = 144668160.

The previous prime is 444387451. The next prime is 444387521. The reversal of 444387456 is 654783444.

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

It is a super-2 number, since 2×444387456² = 394960422100303872, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (444387451) 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, 45051 + ... + 54021.

Almost surely, 2^444387456 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 444387456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654327960).

444387456 is an abundant number, since it is smaller than the sum of its proper divisors (864268464).

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

444387456 is a wasteful number, since it uses less digits than its factorization.

444387456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9034 (or 9019 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 45.

The square root of 444387456 is about 21080.4994248239. The cubic root of 444387456 is about 763.1102092327.

The spelling of 444387456 in words is "four hundred forty-four million, three hundred eighty-seven thousand, four hundred fifty-six".