480220048 has 80 divisors (see below), whose sum is σ = 1200101760. Its totient is φ = 180633600.

The previous prime is 480220043. The next prime is 480220051. The reversal of 480220048 is 840022084.

It is a super-2 number, since 2×480220048² = 461222589002244608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 480219998 and 480220025.

It is not an unprimeable number, because it can be changed into a prime (480220043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29008 + ... + 42448.

It is an arithmetic number, because the mean of its divisors is an integer number (15001272).

Almost surely, 2^480220048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 480220048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (600050880).

480220048 is an abundant number, since it is smaller than the sum of its proper divisors (719881712).

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

480220048 is a wasteful number, since it uses less digits than its factorization.

480220048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13496 (or 13490 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

The square root of 480220048 is about 21913.9236103442. The cubic root of 480220048 is about 783.0931570098.

The spelling of 480220048 in words is "four hundred eighty million, two hundred twenty thousand, forty-eight".