448806820 has 96 divisors (see below), whose sum is σ = 1226244096. Its totient is φ = 133795200.

The previous prime is 448806811. The next prime is 448806823. The reversal of 448806820 is 28608844.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (448806823) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29085 + ... + 41755.

It is an arithmetic number, because the mean of its divisors is an integer number (12773376).

Almost surely, 2^448806820 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 448806820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613122048).

448806820 is an abundant number, since it is smaller than the sum of its proper divisors (777437276).

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

448806820 is a wasteful number, since it uses less digits than its factorization.

448806820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12721 (or 12719 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 40.

The square root of 448806820 is about 21185.0612460762. The cubic root of 448806820 is about 765.6315402357.

The spelling of 448806820 in words is "four hundred forty-eight million, eight hundred six thousand, eight hundred twenty".