448812 has 72 divisors (see below), whose sum is σ = 1406496. Its totient is φ = 117504.

The previous prime is 448807. The next prime is 448829. The reversal of 448812 is 218844.

It is a super-2 number, since 2×448812² = 402864422688, which contains 22 as substring.

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

It is an unprimeable number.

448812 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3208 + ... + 3344.

2⁴⁴⁸⁸¹² is an apocalyptic number.

448812 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 448812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (703248).

448812 is an abundant number, since it is smaller than the sum of its proper divisors (957684).

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

448812 is a wasteful number, since it uses less digits than its factorization.

448812 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 162 counting only the distinct ones).

The product of its digits is 2048, while the sum is 27.

The square root of 448812 is about 669.9343251394. The cubic root of 448812 is about 76.5634485791.

The spelling of 448812 in words is "four hundred forty-eight thousand, eight hundred twelve".