812448 has 144 divisors (see below), whose sum is σ = 2935296. Its totient is φ = 207360.

The previous prime is 812443. The next prime is 812467. The reversal of 812448 is 844218.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 12.

It is a zygodrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (812443) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26193 + ... + 26223.

It is an arithmetic number, because the mean of its divisors is an integer number (20384).

2⁸¹²⁴⁴⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 812448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1467648).

812448 is an abundant number, since it is smaller than the sum of its proper divisors (2122848).

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

812448 is a wasteful number, since it uses less digits than its factorization.

812448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 56 counting only the distinct ones).

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

The square root of 812448 is about 901.3589739943. The cubic root of 812448 is about 93.3107882053.

The spelling of 812448 in words is "eight hundred twelve thousand, four hundred forty-eight".