449924896 has 48 divisors (see below), whose sum is σ = 928718784. Its totient is φ = 214153984.

The previous prime is 449924833. The next prime is 449924903. The reversal of 449924896 is 698429944.

It is a super-2 number, since 2×449924896² = 404864824081221632, which contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 165726 + ... + 168418.

It is an arithmetic number, because the mean of its divisors is an integer number (19348308).

Almost surely, 2^449924896 is an apocalyptic number.

449924896 is a gapful number since it is divisible by the number (46) 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 449924896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464359392).

449924896 is an abundant number, since it is smaller than the sum of its proper divisors (478793888).

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

449924896 is a wasteful number, since it uses less digits than its factorization.

449924896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2953 (or 2945 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 55.

The square root of 449924896 is about 21211.4331434724. The cubic root of 449924896 is about 766.2667982412.

The spelling of 449924896 in words is "four hundred forty-nine million, nine hundred twenty-four thousand, eight hundred ninety-six".