449479584 has 96 divisors (see below), whose sum is σ = 1356264000. Its totient is φ = 144652032.

The previous prime is 449479577. The next prime is 449479631. The reversal of 449479584 is 485974944.

449479584 is a `hidden beast` number, since 4 + 494 + 79 + 5 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a self number, because there is not a number n which added to its sum of digits gives 449479584.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16087 + ... + 34025.

It is an arithmetic number, because the mean of its divisors is an integer number (14127750).

Almost surely, 2^449479584 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 449479584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (678132000).

449479584 is an abundant number, since it is smaller than the sum of its proper divisors (906784416).

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

449479584 is a wasteful number, since it uses less digits than its factorization.

449479584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17987 (or 17973 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The square root of 449479584 is about 21200.9335643504. The cubic root of 449479584 is about 766.0139112654.

The spelling of 449479584 in words is "four hundred forty-nine million, four hundred seventy-nine thousand, five hundred eighty-four".