4008480400 has 60 divisors (see below), whose sum is σ = 9668094372. Its totient is φ = 1597112320.

The previous prime is 4008480391. The next prime is 4008480403. The reversal of 4008480400 is 40848004.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 18284176 + 3990196224 = 4276^2 + 63168^2 .

It is not an unprimeable number, because it can be changed into a prime (4008480403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 83304 + ... + 122296.

Almost surely, 2^4008480400 is an apocalyptic number.

4008480400 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 4008480400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4834047186).

4008480400 is an abundant number, since it is smaller than the sum of its proper divisors (5659613972).

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

4008480400 is a wasteful number, since it uses less digits than its factorization.

4008480400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39268 (or 39257 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

The square root of 4008480400 is about 63312.5611549557. The cubic root of 4008480400 is about 1588.5220764365.

The spelling of 4008480400 in words is "four billion, eight million, four hundred eighty thousand, four hundred".