4120480 has 96 divisors (see below), whose sum is σ = 12023424. Its totient is φ = 1299456.

The previous prime is 4120471. The next prime is 4120483. The reversal of 4120480 is 840214.

It is not an unprimeable number, because it can be changed into a prime (4120483) 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, 14419 + ... + 14701.

It is an arithmetic number, because the mean of its divisors is an integer number (125244).

Almost surely, 2^4120480 is an apocalyptic number.

4120480 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 4120480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6011712).

4120480 is an abundant number, since it is smaller than the sum of its proper divisors (7902944).

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

4120480 is a wasteful number, since it uses less digits than its factorization.

4120480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 4120480 is about 2029.8965490882. The cubic root of 4120480 is about 160.3181170903.

Adding to 4120480 its reverse (840214), we get a palindrome (4960694).

The spelling of 4120480 in words is "four million, one hundred twenty thousand, four hundred eighty".