448308324 has 96 divisors (see below), whose sum is σ = 1185300480. Its totient is φ = 146512800.

The previous prime is 448308293. The next prime is 448308407. The reversal of 448308324 is 423803844.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 31 ways as a sum of consecutive naturals, for example, 2124579 + ... + 2124789.

It is an arithmetic number, because the mean of its divisors is an integer number (12346880).

Almost surely, 2^448308324 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 448308324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592650240).

448308324 is an abundant number, since it is smaller than the sum of its proper divisors (736992156).

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

448308324 is a wasteful number, since it uses less digits than its factorization.

448308324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 448308324 is about 21173.2927056705. The cubic root of 448308324 is about 765.3479693412.

The spelling of 448308324 in words is "four hundred forty-eight million, three hundred eight thousand, three hundred twenty-four".