449245968 has 80 divisors (see below), whose sum is σ = 1196744832. Its totient is φ = 145152000.

The previous prime is 449245963. The next prime is 449245981. The reversal of 449245968 is 869542944.

Its product of digits (2488320) is a multiple of the sum of its prime factors (2304).

It is a self number, because there is not a number n which added to its sum of digits gives 449245968.

It is not an unprimeable number, because it can be changed into a prime (449245963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 206808 + ... + 208968.

Almost surely, 2^449245968 is an apocalyptic number.

449245968 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 449245968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (598372416).

449245968 is an abundant number, since it is smaller than the sum of its proper divisors (747498864).

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

449245968 is a wasteful number, since it uses less digits than its factorization.

449245968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2304 (or 2298 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 51.

The square root of 449245968 is about 21195.4232795667. The cubic root of 449245968 is about 765.8811769324.

The spelling of 449245968 in words is "four hundred forty-nine million, two hundred forty-five thousand, nine hundred sixty-eight".