448807360 has 112 divisors (see below), whose sum is σ = 1138062240. Its totient is φ = 168099840.

The previous prime is 448807357. The next prime is 448807427. The reversal of 448807360 is 63708844.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 589380 + ... + 590140.

It is an arithmetic number, because the mean of its divisors is an integer number (10161270).

Almost surely, 2^448807360 is an apocalyptic number.

448807360 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 448807360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569031120).

448807360 is an abundant number, since it is smaller than the sum of its proper divisors (689254880).

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

448807360 is a wasteful number, since it uses less digits than its factorization.

448807360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 894 (or 884 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 40.

The square root of 448807360 is about 21185.0739909022. The cubic root of 448807360 is about 765.6318473024.

The spelling of 448807360 in words is "four hundred forty-eight million, eight hundred seven thousand, three hundred sixty".