449543952 has 320 divisors, whose sum is σ = 1599897600. Its totient is φ = 118817280.

The previous prime is 449543929. The next prime is 449543987. The reversal of 449543952 is 259345944.

It is a junction number, because it is equal to n+sod(n) for n = 449543898 and 449543907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1173553 + ... + 1173935.

It is an arithmetic number, because the mean of its divisors is an integer number (4999680).

Almost surely, 2^449543952 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 449543952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (799948800).

449543952 is an abundant number, since it is smaller than the sum of its proper divisors (1150353648).

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

449543952 is a wasteful number, since it uses less digits than its factorization.

449543952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443 (or 431 counting only the distinct ones).

The product of its digits is 777600, while the sum is 45.

The square root of 449543952 is about 21202.4515563649. The cubic root of 449543952 is about 766.0504753510.

The spelling of 449543952 in words is "four hundred forty-nine million, five hundred forty-three thousand, nine hundred fifty-two".