444404240 has 80 divisors (see below), whose sum is σ = 1184388480. Its totient is φ = 151910400.

The previous prime is 444404237. The next prime is 444404263. The reversal of 444404240 is 42404444.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

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, 223571 + ... + 225549.

It is an arithmetic number, because the mean of its divisors is an integer number (14804856).

Almost surely, 2^444404240 is an apocalyptic number.

444404240 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 444404240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592194240).

444404240 is an abundant number, since it is smaller than the sum of its proper divisors (739984240).

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

444404240 is a wasteful number, since it uses less digits than its factorization.

444404240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2400 (or 2394 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 26.

The square root of 444404240 is about 21080.8975141003. The cubic root of 444404240 is about 763.1198163749.

Adding to 444404240 its reverse (42404444), we get a palindrome (486808684).

The spelling of 444404240 in words is "four hundred forty-four million, four hundred four thousand, two hundred forty".