480880444 has 48 divisors (see below), whose sum is σ = 947116800. Its totient is φ = 211769600.

The previous prime is 480880417. The next prime is 480880459. The reversal of 480880444 is 444088084.

It is a super-3 number, since 3×480880444³ (a number of 27 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 480880397 and 480880406.

It is a congruent number.

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, 183012 + ... + 185620.

It is an arithmetic number, because the mean of its divisors is an integer number (19731600).

Almost surely, 2^480880444 is an apocalyptic number.

480880444 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

480880444 is a deficient number, since it is larger than the sum of its proper divisors (466236356).

480880444 is a wasteful number, since it uses less digits than its factorization.

480880444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2754 (or 2752 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 40.

The square root of 480880444 is about 21928.9863878840. The cubic root of 480880444 is about 783.4519610694.

The spelling of 480880444 in words is "four hundred eighty million, eight hundred eighty thousand, four hundred forty-four".