4449945600 has 720 divisors, whose sum is σ = 17510793300. Its totient is φ = 1114767360.

The previous prime is 4449945587. The next prime is 4449945611. The reversal of 4449945600 is 65499444.

4449945600 is a `hidden beast` number, since 44 + 49 + 9 + 4 + 560 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 2657608704 + 1792336896 = 51552^2 + 42336^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 120268782 + ... + 120268818.

Almost surely, 2^4449945600 is an apocalyptic number.

4449945600 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 4449945600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8755396650).

4449945600 is an abundant number, since it is smaller than the sum of its proper divisors (13060847700).

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

4449945600 is a wasteful number, since it uses less digits than its factorization.

4449945600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 4449945600 is about 66707.9125741467. The cubic root of 4449945600 is about 1644.8194540135.

The spelling of 4449945600 in words is "four billion, four hundred forty-nine million, nine hundred forty-five thousand, six hundred".