448558020 has 96 divisors (see below), whose sum is σ = 1408055040. Its totient is φ = 118540800.

The previous prime is 448558009. The next prime is 448558037. The reversal of 448558020 is 20855844.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57345 + ... + 64695.

It is an arithmetic number, because the mean of its divisors is an integer number (14667240).

Almost surely, 2^448558020 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 448558020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (704027520).

448558020 is an abundant number, since it is smaller than the sum of its proper divisors (959497020).

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

448558020 is a wasteful number, since it uses less digits than its factorization.

448558020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7482 (or 7474 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The square root of 448558020 is about 21179.1883697180. The cubic root of 448558020 is about 765.4900358962.

The spelling of 448558020 in words is "four hundred forty-eight million, five hundred fifty-eight thousand, twenty".