444420520 has 16 divisors (see below), whose sum is σ = 999946260. Its totient is φ = 177768192.

The previous prime is 444420481. The next prime is 444420539. The reversal of 444420520 is 25024444.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 429069796 + 15350724 = 20714^2 + 3918^2 .

It is a super-3 number, since 3×444420520³ (a number of 27 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5555217 + ... + 5555296.

Almost surely, 2^444420520 is an apocalyptic number.

444420520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

444420520 is an abundant number, since it is smaller than the sum of its proper divisors (555525740).

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

444420520 is a wasteful number, since it uses less digits than its factorization.

444420520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11110524 (or 11110520 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 25.

The square root of 444420520 is about 21081.2836421315. The cubic root of 444420520 is about 763.1291347970.

Adding to 444420520 its reverse (25024444), we get a palindrome (469444964).

It can be divided in two parts, 4444 and 20520, that added together give a square (24964 = 158²).

The spelling of 444420520 in words is "four hundred forty-four million, four hundred twenty thousand, five hundred twenty".