497760 has 96 divisors (see below), whose sum is σ = 1687392. Its totient is φ = 122880.

The previous prime is 497741. The next prime is 497771. The reversal of 497760 is 67794.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

497760 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 15 ways as a sum of consecutive naturals, for example, 8130 + ... + 8190.

It is an arithmetic number, because the mean of its divisors is an integer number (17577).

2⁴⁹⁷⁷⁶⁰ is an apocalyptic number.

497760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 497760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (843696).

497760 is an abundant number, since it is smaller than the sum of its proper divisors (1189632).

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

497760 is a wasteful number, since it uses less digits than its factorization.

497760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 33.

The square root of 497760 is about 705.5210840223. The cubic root of 497760 is about 79.2513492126.

The spelling of 497760 in words is "four hundred ninety-seven thousand, seven hundred sixty".