448461 has 12 divisors (see below), whose sum is σ = 697788. Its totient is φ = 275904.

The previous prime is 448451. The next prime is 448519. The reversal of 448461 is 164844.

It can be written as a sum of positive squares in 2 ways, for example, as 81225 + 367236 = 285^2 + 606^2 .

It is not a de Polignac number, because 448461 - 2⁶ = 448397 is a prime.

It is a super-2 number, since 2×448461² = 402234537042, which contains 22 as substring.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (448421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1800 + ... + 2033.

It is an arithmetic number, because the mean of its divisors is an integer number (58149).

2⁴⁴⁸⁴⁶¹ is an apocalyptic number.

It is an amenable number.

448461 is a deficient number, since it is larger than the sum of its proper divisors (249327).

448461 is a wasteful number, since it uses less digits than its factorization.

448461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3852 (or 3849 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 448461 is about 669.6723079238. The cubic root of 448461 is about 76.5434841848.

It can be divided in two parts, 448 and 461, that added together give a palindrome (909).

The spelling of 448461 in words is "four hundred forty-eight thousand, four hundred sixty-one".