448866360 has 320 divisors, whose sum is σ = 1609977600. Its totient is φ = 111974400.

The previous prime is 448866343. The next prime is 448866371. The reversal of 448866360 is 63668844.

448866360 is a `hidden beast` number, since 4 + 4 + 8 + 8 + 6 + 636 + 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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4117986 + ... + 4118094.

It is an arithmetic number, because the mean of its divisors is an integer number (5031180).

Almost surely, 2^448866360 is an apocalyptic number.

448866360 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 448866360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (804988800).

448866360 is an abundant number, since it is smaller than the sum of its proper divisors (1161111240).

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

448866360 is a wasteful number, since it uses less digits than its factorization.

448866360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The square root of 448866360 is about 21186.4664349674. The cubic root of 448866360 is about 765.6653956973.

The spelling of 448866360 in words is "four hundred forty-eight million, eight hundred sixty-six thousand, three hundred sixty".