444420440 has 32 divisors (see below), whose sum is σ = 1000620000. Its totient is φ = 177648384.

The previous prime is 444420419. The next prime is 444420451. The reversal of 444420440 is 44024444.

It is a happy number.

It is a super-3 number, since 3×444420440³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 78836 + ... + 84284.

It is an arithmetic number, because the mean of its divisors is an integer number (31269375).

Almost surely, 2^444420440 is an apocalyptic number.

444420440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

444420440 is an abundant number, since it is smaller than the sum of its proper divisors (556199560).

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

444420440 is a wasteful number, since it uses less digits than its factorization.

444420440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7499 (or 7495 counting only the distinct ones).

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

The square root of 444420440 is about 21081.2817447137. The cubic root of 444420440 is about 763.1290890068.

Adding to 444420440 its reverse (44024444), we get a palindrome (488444884).

The spelling of 444420440 in words is "four hundred forty-four million, four hundred twenty thousand, four hundred forty".