4449884400 has 180 divisors, whose sum is σ = 16630381768. Its totient is φ = 1095344640.

The previous prime is 4449884363. The next prime is 4449884443. The reversal of 4449884400 is 44889444.

4449884400 is a `hidden beast` number, since 44 + 498 + 84 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 742 + ... + 94341.

Almost surely, 2^4449884400 is an apocalyptic number.

4449884400 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 4449884400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8315190884).

4449884400 is an abundant number, since it is smaller than the sum of its proper divisors (12180497368).

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

4449884400 is a wasteful number, since it uses less digits than its factorization.

4449884400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95120 (or 95106 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The square root of 4449884400 is about 66707.4538563720. The cubic root of 4449884400 is about 1644.8119135908.

The spelling of 4449884400 in words is "four billion, four hundred forty-nine million, eight hundred eighty-four thousand, four hundred".