448468020 has 576 divisors, whose sum is σ = 1937295360. Its totient is φ = 80870400.

The previous prime is 448467967. The next prime is 448468043. The reversal of 448468020 is 20864844.

It is a super-2 number, since 2×448468020² = 402247129925440800, which contains 22 as substring.

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 191 ways as a sum of consecutive naturals, for example, 3423355 + ... + 3423485.

It is an arithmetic number, because the mean of its divisors is an integer number (3363360).

Almost surely, 2^448468020 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 448468020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (968647680).

448468020 is an abundant number, since it is smaller than the sum of its proper divisors (1488827340).

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

448468020 is a wasteful number, since it uses less digits than its factorization.

448468020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 448468020 is about 21177.0635358163. The cubic root of 448468020 is about 765.4388357479.

The spelling of 448468020 in words is "four hundred forty-eight million, four hundred sixty-eight thousand, twenty".