4038480 has 120 divisors (see below), whose sum is σ = 13927680. Its totient is φ = 1048320.

The previous prime is 4038467. The next prime is 4038481. The reversal of 4038480 is 848304.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4038481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51081 + ... + 51159.

It is an arithmetic number, because the mean of its divisors is an integer number (116064).

Almost surely, 2^4038480 is an apocalyptic number.

4038480 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 4038480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6963840).

4038480 is an abundant number, since it is smaller than the sum of its proper divisors (9889200).

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

4038480 is a wasteful number, since it uses less digits than its factorization.

4038480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 4038480 is about 2009.5969745200. The cubic root of 4038480 is about 159.2475081902.

The spelling of 4038480 in words is "four million, thirty-eight thousand, four hundred eighty".