448074720 has 384 divisors, whose sum is σ = 1698278400. Its totient is φ = 109983744.

The previous prime is 448074709. The next prime is 448074743. The reversal of 448074720 is 27470844.

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 63 ways as a sum of consecutive naturals, for example, 4350189 + ... + 4350291.

It is an arithmetic number, because the mean of its divisors is an integer number (4422600).

Almost surely, 2^448074720 is an apocalyptic number.

448074720 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 448074720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (849139200).

448074720 is an abundant number, since it is smaller than the sum of its proper divisors (1250203680).

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

448074720 is a wasteful number, since it uses less digits than its factorization.

448074720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 36.

The square root of 448074720 is about 21167.7755090137. The cubic root of 448074720 is about 765.2150106900.

The spelling of 448074720 in words is "four hundred forty-eight million, seventy-four thousand, seven hundred twenty".