448942464 has 96 divisors (see below), whose sum is σ = 1308496800. Its totient is φ = 147723264.

The previous prime is 448942453. The next prime is 448942471. The reversal of 448942464 is 464249844.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 88542 + ... + 93474.

It is an arithmetic number, because the mean of its divisors is an integer number (13630175).

Almost surely, 2^448942464 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 448942464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654248400).

448942464 is an abundant number, since it is smaller than the sum of its proper divisors (859554336).

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

448942464 is a wasteful number, since it uses less digits than its factorization.

448942464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5032 (or 5017 counting only the distinct ones).

The product of its digits is 884736, while the sum is 45.

The square root of 448942464 is about 21188.2624110615. The cubic root of 448942464 is about 765.7086653737.

The spelling of 448942464 in words is "four hundred forty-eight million, nine hundred forty-two thousand, four hundred sixty-four".