497057760 has 144 divisors (see below), whose sum is σ = 1737786960. Its totient is φ = 129300480.

The previous prime is 497057749. The next prime is 497057777. The reversal of 497057760 is 67750794.

497057760 is a `hidden beast` number, since 4 + 9 + 70 + 577 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54831 + ... + 63249.

It is an arithmetic number, because the mean of its divisors is an integer number (12067965).

Almost surely, 2^497057760 is an apocalyptic number.

497057760 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 497057760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (868893480).

497057760 is an abundant number, since it is smaller than the sum of its proper divisors (1240729200).

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

497057760 is a wasteful number, since it uses less digits than its factorization.

497057760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8481 (or 8470 counting only the distinct ones).

The product of its (nonzero) digits is 370440, while the sum is 45.

The square root of 497057760 is about 22294.7922170179. The cubic root of 497057760 is about 792.1406239433.

The spelling of 497057760 in words is "four hundred ninety-seven million, fifty-seven thousand, seven hundred sixty".