448282080 has 96 divisors (see below), whose sum is σ = 1569002400. Its totient is φ = 119540736.

The previous prime is 448282073. The next prime is 448282091. The reversal of 448282080 is 80282844.

448282080 is a `hidden beast` number, since 448 + 2 + 8 + 208 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 15 ways as a sum of consecutive naturals, for example, 47565 + ... + 56204.

It is an arithmetic number, because the mean of its divisors is an integer number (16343775).

Almost surely, 2^448282080 is an apocalyptic number.

448282080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

448282080 is an abundant number, since it is smaller than the sum of its proper divisors (1120720320).

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

448282080 is a wasteful number, since it uses less digits than its factorization.

448282080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103793 (or 103779 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The square root of 448282080 is about 21172.6729535975. The cubic root of 448282080 is about 765.3330345423. Note that the first 3 decimals are identical.

The spelling of 448282080 in words is "four hundred forty-eight million, two hundred eighty-two thousand, eighty".