810488 has 32 divisors (see below), whose sum is σ = 1784160. Its totient is φ = 337920.

The previous prime is 810487. The next prime is 810493. The reversal of 810488 is 884018.

It is a Smith number, since the sum of its digits (29) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 810488.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 810488.

It is not an unprimeable number, because it can be changed into a prime (810487) 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, 2120 + ... + 2472.

It is an arithmetic number, because the mean of its divisors is an integer number (55755).

2⁸¹⁰⁴⁸⁸ 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 810488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (892080).

810488 is an abundant number, since it is smaller than the sum of its proper divisors (973672).

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

810488 is a wasteful number, since it uses less digits than its factorization.

810488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 29.

The square root of 810488 is about 900.2710702894. The cubic root of 810488 is about 93.2356915373.

It can be divided in two parts, 8104 and 88, that added together give a 13-th power (8192 = 2¹³).

The spelling of 810488 in words is "eight hundred ten thousand, four hundred eighty-eight".