4449240900 has 720 divisors, whose sum is σ = 16938915840. Its totient is φ = 1001548800.

The previous prime is 4449240889. The next prime is 4449240923. The reversal of 4449240900 is 90429444.

It is a happy number.

4449240900 is a `hidden beast` number, since 44 + 492 + 40 + 90 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 94664677 + ... + 94664723.

It is an arithmetic number, because the mean of its divisors is an integer number (23526272).

Almost surely, 2^4449240900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4449240900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8469457920).

4449240900 is an abundant number, since it is smaller than the sum of its proper divisors (12489674940).

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

4449240900 is a wasteful number, since it uses less digits than its factorization.

4449240900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 4449240900 is about 66702.6303829167. The cubic root of 4449240900 is about 1644.7326240786.

The spelling of 4449240900 in words is "four billion, four hundred forty-nine million, two hundred forty thousand, nine hundred".