449549352 has 320 divisors, whose sum is σ = 1561190400. Its totient is φ = 118039680.

The previous prime is 449549341. The next prime is 449549381. The reversal of 449549352 is 253945944.

It is a junction number, because it is equal to n+sod(n) for n = 449549298 and 449549307.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3234099 + ... + 3234237.

It is an arithmetic number, because the mean of its divisors is an integer number (4878720).

Almost surely, 2^449549352 is an apocalyptic number.

449549352 is a gapful number since it is divisible by the number (42) 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 449549352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (780595200).

449549352 is an abundant number, since it is smaller than the sum of its proper divisors (1111641048).

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

449549352 is a wasteful number, since it uses less digits than its factorization.

449549352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 205 counting only the distinct ones).

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

The square root of 449549352 is about 21202.5788997471. The cubic root of 449549352 is about 766.0535426491.

The spelling of 449549352 in words is "four hundred forty-nine million, five hundred forty-nine thousand, three hundred fifty-two".