448865280 has 352 divisors, whose sum is σ = 1697863680. Its totient is φ = 112066560.

The previous prime is 448865251. The next prime is 448865299. The reversal of 448865280 is 82568844.

448865280 is a `hidden beast` number, since 4 + 48 + 86 + 528 + 0 = 666.

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2349985 + ... + 2350175.

Almost surely, 2^448865280 is an apocalyptic number.

448865280 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 448865280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (848931840).

448865280 is an abundant number, since it is smaller than the sum of its proper divisors (1248998400).

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

448865280 is a wasteful number, since it uses less digits than its factorization.

448865280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The square root of 448865280 is about 21186.4409469830. The cubic root of 448865280 is about 765.6647816175.

The spelling of 448865280 in words is "four hundred forty-eight million, eight hundred sixty-five thousand, two hundred eighty".