4481208400 has 60 divisors (see below), whose sum is σ = 10872796284. Its totient is φ = 1774720000.

The previous prime is 4481208341. The next prime is 4481208409. The reversal of 4481208400 is 48021844.

It can be written as a sum of positive squares in 6 ways, for example, as 252047376 + 4229161024 = 15876^2 + 65032^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4481208409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15061 + ... + 95860.

Almost surely, 2^4481208400 is an apocalyptic number.

4481208400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4481208400 is an abundant number, since it is smaller than the sum of its proper divisors (6391587884).

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

4481208400 is a wasteful number, since it uses less digits than its factorization.

4481208400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111040 (or 111029 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 31.

The square root of 4481208400 is about 66941.8284781645. The cubic root of 4481208400 is about 1648.6623256810.

The spelling of 4481208400 in words is "four billion, four hundred eighty-one million, two hundred eight thousand, four hundred".