449777952 has 108 divisors (see below), whose sum is σ = 1385163234. Its totient is φ = 138378240.

The previous prime is 449777917. The next prime is 449777983. The reversal of 449777952 is 259777944.

It can be written as a sum of positive squares in 3 ways, for example, as 367258896 + 82519056 = 19164^2 + 9084^2 .

It is a super-2 number, since 2×449777952² = 404600412210628608, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 44052 + ... + 53292.

Almost surely, 2^449777952 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 449777952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (692581617).

449777952 is an abundant number, since it is smaller than the sum of its proper divisors (935385282).

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

449777952 is a wasteful number, since it uses less digits than its factorization.

449777952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9283 (or 9259 counting only the distinct ones).

The product of its digits is 4445280, while the sum is 54.

The square root of 449777952 is about 21207.9690682536. The cubic root of 449777952 is about 766.1833690809.

The spelling of 449777952 in words is "four hundred forty-nine million, seven hundred seventy-seven thousand, nine hundred fifty-two".