448868844 has 144 divisors (see below), whose sum is σ = 1273759200. Its totient is φ = 136515456.

The previous prime is 448868807. The next prime is 448868879.

It is a happy number.

448868844 is a `hidden beast` number, since 448 + 86 + 88 + 44 = 666.

448868844 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×448868844² = 402966478227792672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 1130454 + ... + 1130850.

It is an arithmetic number, because the mean of its divisors is an integer number (8845550).

Almost surely, 2^448868844 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 448868844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636879600).

448868844 is an abundant number, since it is smaller than the sum of its proper divisors (824890356).

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

448868844 is a wasteful number, since it uses less digits than its factorization.

448868844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477 (or 450 counting only the distinct ones).

The product of its digits is 6291456, while the sum is 54.

The square root of 448868844 is about 21186.5250572150. The cubic root of 448868844 is about 765.6668080771. Note that the first 3 decimals are identical.

The spelling of 448868844 in words is "four hundred forty-eight million, eight hundred sixty-eight thousand, eight hundred forty-four".