892488 has 32 divisors (see below), whose sum is σ = 2288160. Its totient is φ = 289920.

The previous prime is 892481. The next prime is 892513. The reversal of 892488 is 884298.

It is a happy number.

892488 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×892488³ = 2132693332456674816, which contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (892481) 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, 531 + ... + 1437.

It is an arithmetic number, because the mean of its divisors is an integer number (71505).

2⁸⁹²⁴⁸⁸ 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 892488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1144080).

892488 is an abundant number, since it is smaller than the sum of its proper divisors (1395672).

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

892488 is a wasteful number, since it uses less digits than its factorization.

892488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 957 (or 953 counting only the distinct ones).

The product of its digits is 36864, while the sum is 39.

The square root of 892488 is about 944.7158302897. The cubic root of 892488 is about 96.2795670113.

The spelling of 892488 in words is "eight hundred ninety-two thousand, four hundred eighty-eight".