4048800480 has 144 divisors (see below), whose sum is σ = 14190138144. Its totient is φ = 1050485760.

The previous prime is 4048800449. The next prime is 4048800523. The reversal of 4048800480 is 840088404.

4048800480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15285 + ... + 91275.

It is an arithmetic number, because the mean of its divisors is an integer number (98542626).

Almost surely, 2^4048800480 is an apocalyptic number.

4048800480 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 4048800480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7095069072).

4048800480 is an abundant number, since it is smaller than the sum of its proper divisors (10141337664).

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

4048800480 is a wasteful number, since it uses less digits than its factorization.

4048800480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76049 (or 76038 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The square root of 4048800480 is about 63630.1852896878. The cubic root of 4048800480 is about 1593.8304703083.

Adding to 4048800480 its reverse (840088404), we get a palindrome (4888888884).

The spelling of 4048800480 in words is "four billion, forty-eight million, eight hundred thousand, four hundred eighty".