448974240 has 384 divisors, whose sum is σ = 1723244544. Its totient is φ = 96768000.

The previous prime is 448974203. The next prime is 448974269. The reversal of 448974240 is 42479844.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 448974192 and 448974201.

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 63 ways as a sum of consecutive naturals, for example, 2127735 + ... + 2127945.

It is an arithmetic number, because the mean of its divisors is an integer number (4487616).

Almost surely, 2^448974240 is an apocalyptic number.

448974240 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 448974240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (861622272).

448974240 is an abundant number, since it is smaller than the sum of its proper divisors (1274270304).

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

448974240 is a wasteful number, since it uses less digits than its factorization.

448974240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 42.

The square root of 448974240 is about 21189.0122469170. The cubic root of 448974240 is about 765.7267304833.

The spelling of 448974240 in words is "four hundred forty-eight million, nine hundred seventy-four thousand, two hundred forty".