449417664 has 84 divisors (see below), whose sum is σ = 1329781440. Its totient is φ = 144967680.

The previous prime is 449417663. The next prime is 449417707. The reversal of 449417664 is 466714944.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (449417663) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5272 + ... + 30440.

Almost surely, 2^449417664 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 449417664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (664890720).

449417664 is an abundant number, since it is smaller than the sum of its proper divisors (880363776).

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

449417664 is a wasteful number, since it uses less digits than its factorization.

449417664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25218 (or 25205 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 449417664 is about 21199.4732010020. The cubic root of 449417664 is about 765.9787344659.

The spelling of 449417664 in words is "four hundred forty-nine million, four hundred seventeen thousand, six hundred sixty-four".