803488 has 48 divisors (see below), whose sum is σ = 1923264. Its totient is φ = 322560.

The previous prime is 803483. The next prime is 803497. The reversal of 803488 is 884308.

It is a super-3 number, since 3×803488³ = 1556178603543330816, which contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (803483) by changing a digit.

803488 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 7 ways as a sum of consecutive naturals, for example, 3703 + ... + 3913.

It is an arithmetic number, because the mean of its divisors is an integer number (40068).

2⁸⁰³⁴⁸⁸ 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 803488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (961632).

803488 is an abundant number, since it is smaller than the sum of its proper divisors (1119776).

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

803488 is a wasteful number, since it uses less digits than its factorization.

803488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 31.

The square root of 803488 is about 896.3749215591. The cubic root of 803488 is about 92.9664965840.

The spelling of 803488 in words is "eight hundred three thousand, four hundred eighty-eight".