444828930 has 128 divisors (see below), whose sum is σ = 1325334528. Its totient is φ = 93042432.

The previous prime is 444828913. The next prime is 444828949. The reversal of 444828930 is 39828444.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 346069 + ... + 347351.

It is an arithmetic number, because the mean of its divisors is an integer number (10354176).

Almost surely, 2^444828930 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 444828930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (662667264).

444828930 is an abundant number, since it is smaller than the sum of its proper divisors (880505598).

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

444828930 is a wasteful number, since it uses less digits than its factorization.

444828930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1440.

The product of its (nonzero) digits is 221184, while the sum is 42.

The square root of 444828930 is about 21090.9679720965. The cubic root of 444828930 is about 763.3628279868.

The spelling of 444828930 in words is "four hundred forty-four million, eight hundred twenty-eight thousand, nine hundred thirty".