444053424 has 80 divisors (see below), whose sum is σ = 1195637760. Its totient is φ = 141853440.

The previous prime is 444053419. The next prime is 444053473. The reversal of 444053424 is 424350444.

It is a super-2 number, since 2×444053424² = 394366886732247552, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 444053391 and 444053400.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 157822 + ... + 160610.

It is an arithmetic number, because the mean of its divisors is an integer number (14945472).

Almost surely, 2^444053424 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 444053424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597818880).

444053424 is an abundant number, since it is smaller than the sum of its proper divisors (751584336).

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

444053424 is a wasteful number, since it uses less digits than its factorization.

444053424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2938 (or 2932 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 30.

The square root of 444053424 is about 21072.5751629933. The cubic root of 444053424 is about 762.9189593671.

The spelling of 444053424 in words is "four hundred forty-four million, fifty-three thousand, four hundred twenty-four".