449938944 has 480 divisors, whose sum is σ = 1698016320. Its totient is φ = 111476736.

The previous prime is 449938927. The next prime is 449938963. The reversal of 449938944 is 449839944.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12160494 + ... + 12160530.

It is an arithmetic number, because the mean of its divisors is an integer number (3537534).

Almost surely, 2^449938944 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 449938944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (849008160).

449938944 is an abundant number, since it is smaller than the sum of its proper divisors (1248077376).

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

449938944 is a wasteful number, since it uses less digits than its factorization.

449938944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 91 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 54.

The square root of 449938944 is about 21211.7642830576. The cubic root of 449938944 is about 766.2747732047.

The spelling of 449938944 in words is "four hundred forty-nine million, nine hundred thirty-eight thousand, nine hundred forty-four".