480220000 has 120 divisors (see below), whose sum is σ = 1272980016. Its totient is φ = 177216000.

The previous prime is 480219979. The next prime is 480220043. The reversal of 480220000 is 22084.

It is a super-2 number, since 2×480220000² = 461222496800000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 259077 + ... + 260923.

Almost surely, 2^480220000 is an apocalyptic number.

480220000 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 480220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636490008).

480220000 is an abundant number, since it is smaller than the sum of its proper divisors (792760016).

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

480220000 is a wasteful number, since it uses less digits than its factorization.

480220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1890 (or 1867 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 480220000 is about 21913.9225151500. The cubic root of 480220000 is about 783.0931309187.

Adding to 480220000 its reverse (22084), we get a palindrome (480242084).

It can be divided in two parts, 4802 and 20000, that multiplied together give a square (96040000 = 9800²).

The spelling of 480220000 in words is "four hundred eighty million, two hundred twenty thousand".