800448 has 56 divisors (see below), whose sum is σ = 2316480. Its totient is φ = 241920.

The previous prime is 800447. The next prime is 800473. The reversal of 800448 is 844008.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (800441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1923 + ... + 2301.

2⁸⁰⁰⁴⁴⁸ is an apocalyptic number.

800448 is a gapful number since it is divisible by the number (88) 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 800448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1158240).

800448 is an abundant number, since it is smaller than the sum of its proper divisors (1516032).

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

800448 is a wasteful number, since it uses less digits than its factorization.

800448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 800448 is about 894.6775955617. The cubic root of 800448 is about 92.8491020369.

The spelling of 800448 in words is "eight hundred thousand, four hundred forty-eight".