444790440 has 160 divisors (see below), whose sum is σ = 1510138080. Its totient is φ = 117410688.

The previous prime is 444790433. The next prime is 444790447. The reversal of 444790440 is 44097444.

It is an interprime number because it is at equal distance from previous prime (444790433) and next prime (444790447).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 444790395 and 444790404.

It is not an unprimeable number, because it can be changed into a prime (444790447) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 346039 + ... + 347321.

It is an arithmetic number, because the mean of its divisors is an integer number (9438363).

Almost surely, 2^444790440 is an apocalyptic number.

444790440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 444790440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (755069040).

444790440 is an abundant number, since it is smaller than the sum of its proper divisors (1065347640).

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

444790440 is a wasteful number, since it uses less digits than its factorization.

444790440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1413 (or 1400 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 444790440 is about 21090.0554764562. The cubic root of 444790440 is about 763.3408100223.

The spelling of 444790440 in words is "four hundred forty-four million, seven hundred ninety thousand, four hundred forty".