497988 has 60 divisors (see below), whose sum is σ = 1372140. Its totient is φ = 157248.

The previous prime is 497977. The next prime is 497989. The reversal of 497988 is 889794.

It can be written as a sum of positive squares in 2 ways, for example, as 311364 + 186624 = 558^2 + 432^2 .

It is a plaindrome in base 13.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 497988.

It is not an unprimeable number, because it can be changed into a prime (497989) by changing a digit.

497988 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 19 ways as a sum of consecutive naturals, for example, 9370 + ... + 9422.

It is an arithmetic number, because the mean of its divisors is an integer number (22869).

2⁴⁹⁷⁹⁸⁸ 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 497988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (686070).

497988 is an abundant number, since it is smaller than the sum of its proper divisors (874152).

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

497988 is a wasteful number, since it uses less digits than its factorization.

497988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 87 counting only the distinct ones).

The product of its digits is 145152, while the sum is 45.

The square root of 497988 is about 705.6826482209. The cubic root of 497988 is about 79.2634477805.

Subtracting from 497988 its product of digits (145152), we obtain a square (352836 = 594²).

It can be divided in two parts, 497 and 988, that added together give a triangular number (1485 = T₅₄).

The spelling of 497988 in words is "four hundred ninety-seven thousand, nine hundred eighty-eight".