448973721 has 27 divisors (see below), whose sum is σ = 755146431. Its totient is φ = 256302144.

The previous prime is 448973663. The next prime is 448973783. The reversal of 448973721 is 127379844.

The square root of 448973721 is 21189.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 137804121 + 311169600 = 11739^2 + 17640^2 .

It is not a de Polignac number, because 448973721 - 2¹⁷ = 448842649 is a prime.

It is not an unprimeable number, because it can be changed into a prime (448173721) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 444465 + ... + 445473.

Almost surely, 2^448973721 is an apocalyptic number.

448973721 is the 21189-th square number.

448973721 is the 10595-th centered octagonal number.

It is an amenable number.

448973721 is a deficient number, since it is larger than the sum of its proper divisors (306172710).

448973721 is an equidigital number, since it uses as much as digits as its factorization.

448973721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2038 (or 1019 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The cubic root of 448973721 is about 765.7264354313.

It can be divided in two parts, 4489 and 73721, that added together give a triangular number (78210 = T₃₉₅).

The spelling of 448973721 in words is "four hundred forty-eight million, nine hundred seventy-three thousand, seven hundred twenty-one".