444484404 has 288 divisors, whose sum is σ = 1502708480. Its totient is φ = 107495424.

The previous prime is 444484393. The next prime is 444484409. The reversal of 444484404 is 404484444.

It is a happy number.

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 (444484409) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2302932 + ... + 2303124.

Almost surely, 2^444484404 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 444484404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (751354240).

444484404 is an abundant number, since it is smaller than the sum of its proper divisors (1058224076).

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

444484404 is a wasteful number, since it uses less digits than its factorization.

444484404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 36.

The square root of 444484404 is about 21082.7987705617. The cubic root of 444484404 is about 763.1656988197.

The spelling of 444484404 in words is "four hundred forty-four million, four hundred eighty-four thousand, four hundred four".