448686000 has 320 divisors, whose sum is σ = 1838453760. Its totient is φ = 102470400.

The previous prime is 448685983. The next prime is 448686011. The reversal of 448686000 is 686844.

448686000 is a `hidden beast` number, since 4 + 48 + 6 + 8 + 600 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 377407 + ... + 378593.

It is an arithmetic number, because the mean of its divisors is an integer number (5745168).

Almost surely, 2^448686000 is an apocalyptic number.

448686000 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 448686000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (919226880).

448686000 is an abundant number, since it is smaller than the sum of its proper divisors (1389767760).

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

448686000 is a wasteful number, since it uses less digits than its factorization.

448686000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1226 (or 1204 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 448686000 is about 21182.2095164787. The cubic root of 448686000 is about 765.5628307148.

The spelling of 448686000 in words is "four hundred forty-eight million, six hundred eighty-six thousand".