4449894624 has 288 divisors, whose sum is σ = 15280423200. Its totient is φ = 1256048640.

The previous prime is 4449894583. The next prime is 4449894629. The reversal of 4449894624 is 4264989444.

4449894624 is a `hidden beast` number, since 4 + 4 + 4 + 9 + 8 + 9 + 4 + 624 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4449894629) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3767314 + ... + 3768494.

It is an arithmetic number, because the mean of its divisors is an integer number (53057025).

Almost surely, 2^4449894624 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 4449894624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7640211600).

4449894624 is an abundant number, since it is smaller than the sum of its proper divisors (10830528576).

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

4449894624 is a wasteful number, since it uses less digits than its factorization.

4449894624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1303 (or 1282 counting only the distinct ones).

The product of its digits is 7962624, while the sum is 54.

The square root of 4449894624 is about 66707.5304894432. The cubic root of 4449894624 is about 1644.8131732898.

The spelling of 4449894624 in words is "four billion, four hundred forty-nine million, eight hundred ninety-four thousand, six hundred twenty-four".