449659872 has 72 divisors (see below), whose sum is σ = 1282632624. Its totient is φ = 149428224.

The previous prime is 449659831. The next prime is 449659879. The reversal of 449659872 is 278956944.

449659872 is a `hidden beast` number, since 4 + 49 + 6 + 598 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (449659879) 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, 99453 + ... + 103875.

It is an arithmetic number, because the mean of its divisors is an integer number (17814342).

Almost surely, 2^449659872 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 449659872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (641316312).

449659872 is an abundant number, since it is smaller than the sum of its proper divisors (832972752).

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

449659872 is a wasteful number, since it uses less digits than its factorization.

449659872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4792 (or 4781 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The square root of 449659872 is about 21205.1850263090. The cubic root of 449659872 is about 766.1163146229.

The spelling of 449659872 in words is "four hundred forty-nine million, six hundred fifty-nine thousand, eight hundred seventy-two".