448480 has 24 divisors (see below), whose sum is σ = 1059912. Its totient is φ = 179328.

The previous prime is 448451. The next prime is 448519. The reversal of 448480 is 84844.

It is a happy number.

It is a super-2 number, since 2×448480² = 402268620800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1242 + ... + 1561.

It is an arithmetic number, because the mean of its divisors is an integer number (44163).

2⁴⁴⁸⁴⁸⁰ is an apocalyptic number.

448480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

448480 is an abundant number, since it is smaller than the sum of its proper divisors (611432).

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

448480 is a wasteful number, since it uses less digits than its factorization.

448480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2818 (or 2810 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

The square root of 448480 is about 669.6864938163. The cubic root of 448480 is about 76.5445651452.

It can be divided in two parts, 4 and 48480, that added together give a palindrome (48484).

The spelling of 448480 in words is "four hundred forty-eight thousand, four hundred eighty".