444715840 has 56 divisors (see below), whose sum is σ = 1061645832. Its totient is φ = 177438720.

The previous prime is 444715829. The next prime is 444715867. The reversal of 444715840 is 48517444.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 249387264 + 195328576 = 15792^2 + 13976^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 444715840.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 144720 + ... + 147760.

Almost surely, 2^444715840 is an apocalyptic number.

444715840 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 444715840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530822916).

444715840 is an abundant number, since it is smaller than the sum of its proper divisors (616929992).

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

444715840 is a wasteful number, since it uses less digits than its factorization.

444715840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3515 (or 3505 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 37.

The square root of 444715840 is about 21088.2867962288. The cubic root of 444715840 is about 763.2981319406.

The spelling of 444715840 in words is "four hundred forty-four million, seven hundred fifteen thousand, eight hundred forty".