444501248 has 54 divisors (see below), whose sum is σ = 909029142. Its totient is φ = 216852480.

The previous prime is 444501247. The next prime is 444501259. The reversal of 444501248 is 842105444.

It can be written as a sum of positive squares in 3 ways, for example, as 13191424 + 431309824 = 3632^2 + 20768^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444501247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2455718 + ... + 2455898.

It is an arithmetic number, because the mean of its divisors is an integer number (16833873).

Almost surely, 2^444501248 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 444501248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454514571).

444501248 is an abundant number, since it is smaller than the sum of its proper divisors (464527894).

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

444501248 is an frugal number, since it uses more digits than its factorization.

444501248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 32.

The square root of 444501248 is about 21083.1982393564. The cubic root of 444501248 is about 763.1753389034.

The spelling of 444501248 in words is "four hundred forty-four million, five hundred one thousand, two hundred forty-eight".