448080192 has 168 divisors, whose sum is σ = 1545336000. Its totient is φ = 121264128.

The previous prime is 448080163. The next prime is 448080223. The reversal of 448080192 is 291080844.

It is a tau number, because it is divible by the number of its divisors (168).

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 23 ways as a sum of consecutive naturals, for example, 73684 + ... + 79532.

Almost surely, 2^448080192 is an apocalyptic number.

448080192 is a gapful number since it is divisible by the number (42) 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 448080192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (772668000).

448080192 is an abundant number, since it is smaller than the sum of its proper divisors (1097255808).

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

448080192 is a wasteful number, since it uses less digits than its factorization.

448080192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5893 (or 5880 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 448080192 is about 21167.9047616905. The cubic root of 448080192 is about 765.2181256760.

The spelling of 448080192 in words is "four hundred forty-eight million, eighty thousand, one hundred ninety-two".