449183664 has 80 divisors (see below), whose sum is σ = 1297436800. Its totient is φ = 148785984.

The previous prime is 449183573. The next prime is 449183671. The reversal of 449183664 is 466381944.

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

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, 67227 + ... + 73605.

It is an arithmetic number, because the mean of its divisors is an integer number (16217960).

Almost surely, 2^449183664 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 449183664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (648718400).

449183664 is an abundant number, since it is smaller than the sum of its proper divisors (848253136).

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

449183664 is a wasteful number, since it uses less digits than its factorization.

449183664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6559 (or 6547 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 449183664 is about 21193.9534773482. The cubic root of 449183664 is about 765.8457697016.

The spelling of 449183664 in words is "four hundred forty-nine million, one hundred eighty-three thousand, six hundred sixty-four".