448795410 has 96 divisors (see below), whose sum is σ = 1326741120. Its totient is φ = 96542208.

The previous prime is 448795379. The next prime is 448795453. The reversal of 448795410 is 14597844.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16011 + ... + 33969.

It is an arithmetic number, because the mean of its divisors is an integer number (13820220).

Almost surely, 2^448795410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 448795410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (663370560).

448795410 is an abundant number, since it is smaller than the sum of its proper divisors (877945710).

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

448795410 is a wasteful number, since it uses less digits than its factorization.

448795410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18000 (or 17993 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The square root of 448795410 is about 21184.7919508311. The cubic root of 448795410 is about 765.6250519728.

The spelling of 448795410 in words is "four hundred forty-eight million, seven hundred ninety-five thousand, four hundred ten".