448731360 has 768 divisors, whose sum is σ = 2090188800. Its totient is φ = 87091200.

The previous prime is 448731331. The next prime is 448731377. The reversal of 448731360 is 63137844.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6320125 + ... + 6320195.

It is an arithmetic number, because the mean of its divisors is an integer number (2721600).

Almost surely, 2^448731360 is an apocalyptic number.

448731360 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 448731360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1045094400).

448731360 is an abundant number, since it is smaller than the sum of its proper divisors (1641457440).

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

448731360 is a wasteful number, since it uses less digits than its factorization.

448731360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 448731360 is about 21183.2801992515. The cubic root of 448731360 is about 765.5886280875.

The spelling of 448731360 in words is "four hundred forty-eight million, seven hundred thirty-one thousand, three hundred sixty".