449524320 has 192 divisors, whose sum is σ = 1627153920. Its totient is φ = 102187008.

The previous prime is 449524303. The next prime is 449524321. The reversal of 449524320 is 23425944.

It is a super-2 number, since 2×449524320² = 404144228542924800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (449524321) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1185891 + ... + 1186269.

It is an arithmetic number, because the mean of its divisors is an integer number (8474760).

Almost surely, 2^449524320 is an apocalyptic number.

449524320 is a gapful number since it is divisible by the number (40) 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 449524320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (813576960).

449524320 is an abundant number, since it is smaller than the sum of its proper divisors (1177629600).

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

449524320 is a wasteful number, since it uses less digits than its factorization.

449524320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 757 (or 749 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 449524320 is about 21201.9885859794. The cubic root of 449524320 is about 766.0393238111.

The spelling of 449524320 in words is "four hundred forty-nine million, five hundred twenty-four thousand, three hundred twenty".