448398720 has 512 divisors, whose sum is σ = 1985817600. Its totient is φ = 92897280.

The previous prime is 448398701. The next prime is 448398737. The reversal of 448398720 is 27893844.

It is a super-2 number, since 2×448398720² = 402122824195276800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1330392 + ... + 1330728.

It is an arithmetic number, because the mean of its divisors is an integer number (3878550).

Almost surely, 2^448398720 is an apocalyptic number.

448398720 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 448398720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (992908800).

448398720 is an abundant number, since it is smaller than the sum of its proper divisors (1537418880).

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

448398720 is a wasteful number, since it uses less digits than its factorization.

448398720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 448398720 is about 21175.4272684166. The cubic root of 448398720 is about 765.3994069656.

The spelling of 448398720 in words is "four hundred forty-eight million, three hundred ninety-eight thousand, seven hundred twenty".