497984760 has 384 divisors, whose sum is σ = 2069383680. Its totient is φ = 104882688.

The previous prime is 497984759. The next prime is 497984771. The reversal of 497984760 is 67489794.

It is a happy number.

497984760 is a `hidden beast` number, since 497 + 9 + 84 + 76 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 497984697 and 497984706.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 884239 + ... + 884801.

It is an arithmetic number, because the mean of its divisors is an integer number (5389020).

Almost surely, 2^497984760 is an apocalyptic number.

497984760 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 497984760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1034691840).

497984760 is an abundant number, since it is smaller than the sum of its proper divisors (1571398920).

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

497984760 is a wasteful number, since it uses less digits than its factorization.

497984760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 609 (or 593 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The square root of 497984760 is about 22315.5721414442. The cubic root of 497984760 is about 792.6327587932.

The spelling of 497984760 in words is "four hundred ninety-seven million, nine hundred eighty-four thousand, seven hundred sixty".