4474100800 has 168 divisors, whose sum is σ = 12554337096. Its totient is φ = 1554677760.

The previous prime is 4474100789. The next prime is 4474100821. The reversal of 4474100800 is 80014744.

It can be written as a sum of positive squares in 12 ways, for example, as 2932439104 + 1541661696 = 54152^2 + 39264^2 .

It is an unprimeable number.

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, 347274 + ... + 359926.

It is an arithmetic number, because the mean of its divisors is an integer number (74728197).

Almost surely, 2^4474100800 is an apocalyptic number.

4474100800 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 4474100800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6277168548).

4474100800 is an abundant number, since it is smaller than the sum of its proper divisors (8080236296).

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

4474100800 is a wasteful number, since it uses less digits than its factorization.

4474100800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12705 (or 12690 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 28.

The square root of 4474100800 is about 66888.7195272865. The cubic root of 4474100800 is about 1647.7902221433.

The spelling of 4474100800 in words is "four billion, four hundred seventy-four million, one hundred thousand, eight hundred".