497680 has 20 divisors (see below), whose sum is σ = 1157292. Its totient is φ = 199040.

The previous prime is 497677. The next prime is 497689. The reversal of 497680 is 86794.

It can be written as a sum of positive squares in 2 ways, for example, as 82944 + 414736 = 288^2 + 644^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-3 number, since 3×497680³ = 369804183338496000, which contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (497689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3031 + ... + 3190.

2⁴⁹⁷⁶⁸⁰ is an apocalyptic number.

497680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

497680 is an abundant number, since it is smaller than the sum of its proper divisors (659612).

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

497680 is a wasteful number, since it uses less digits than its factorization.

497680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6234 (or 6228 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 497680 is about 705.4643860607. The cubic root of 497680 is about 79.2471032255.

Subtracting from 497680 its product of nonzero digits (12096), we obtain a palindrome (485584).

The spelling of 497680 in words is "four hundred ninety-seven thousand, six hundred eighty".