4020480 has 108 divisors (see below), whose sum is σ = 13950300. Its totient is φ = 1069056.

The previous prime is 4020463. The next prime is 4020493. The reversal of 4020480 is 840204.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2214144 + 1806336 = 1488^2 + 1344^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11346 + ... + 11694.

Almost surely, 2^4020480 is an apocalyptic number.

4020480 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 4020480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6975150).

4020480 is an abundant number, since it is smaller than the sum of its proper divisors (9929820).

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

4020480 is a wasteful number, since it uses less digits than its factorization.

4020480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 4020480 is about 2005.1134631237. The cubic root of 4020480 is about 159.0105605897.

Adding to 4020480 its reverse (840204), we get a palindrome (4860684).

The spelling of 4020480 in words is "four million, twenty thousand, four hundred eighty".