448121844 has 36 divisors (see below), whose sum is σ = 1134158116. Its totient is φ = 149188608.

The previous prime is 448121831. The next prime is 448121879.

448121844 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 31472100 + 416649744 = 5610^2 + 20412^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 448121799 and 448121808.

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, 23412 + ... + 38004.

Almost surely, 2^448121844 is an apocalyptic number.

It is an amenable number.

448121844 is an abundant number, since it is smaller than the sum of its proper divisors (686036272).

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

448121844 is a wasteful number, since it uses less digits than its factorization.

448121844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15456 (or 15451 counting only the distinct ones).

The product of its digits is 32768, while the sum is 36.

The square root of 448121844 is about 21168.8885867917. Note that the first 3 decimals coincide. The cubic root of 448121844 is about 765.2418356268.

It can be divided in two parts, 44812 and 1844, that added together give a 6-th power (46656 = 6⁶).

The spelling of 448121844 in words is "four hundred forty-eight million, one hundred twenty-one thousand, eight hundred forty-four".