4220480 has 84 divisors (see below), whose sum is σ = 11148060. Its totient is φ = 1520640.

The previous prime is 4220473. The next prime is 4220483. The reversal of 4220480 is 840224.

It can be written as a sum of positive squares in 2 ways, for example, as 2238016 + 1982464 = 1496^2 + 1408^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (4220483) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38666 + ... + 38774.

It is an arithmetic number, because the mean of its divisors is an integer number (132715).

Almost surely, 2^4220480 is an apocalyptic number.

4220480 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 4220480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5574030).

4220480 is an abundant number, since it is smaller than the sum of its proper divisors (6927580).

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

4220480 is a wasteful number, since it uses less digits than its factorization.

4220480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 4220480 is about 2054.3806852675. The cubic root of 4220480 is about 161.6046856793.

The spelling of 4220480 in words is "four million, two hundred twenty thousand, four hundred eighty".