444252940 has 48 divisors (see below), whose sum is σ = 968647680. Its totient is φ = 170965440.

The previous prime is 444252929. The next prime is 444252953. The reversal of 444252940 is 49252444.

It is a junction number, because it is equal to n+sod(n) for n = 444252896 and 444252905.

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, 108979 + ... + 112981.

It is an arithmetic number, because the mean of its divisors is an integer number (20180160).

Almost surely, 2^444252940 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 444252940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484323840).

444252940 is an abundant number, since it is smaller than the sum of its proper divisors (524394740).

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

444252940 is a wasteful number, since it uses less digits than its factorization.

444252940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4222 (or 4220 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 34.

The square root of 444252940 is about 21077.3086517231. The cubic root of 444252940 is about 763.0332036896.

The spelling of 444252940 in words is "four hundred forty-four million, two hundred fifty-two thousand, nine hundred forty".