497876960 has 192 divisors, whose sum is σ = 1445713920. Its totient is φ = 158146560.

The previous prime is 497876941. The next prime is 497876989. The reversal of 497876960 is 69678794.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a junction number, because it is equal to n+sod(n) for n = 497876896 and 497876905.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1503995 + ... + 1504325.

It is an arithmetic number, because the mean of its divisors is an integer number (7529760).

Almost surely, 2^497876960 is an apocalyptic number.

497876960 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 497876960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (722856960).

497876960 is an abundant number, since it is smaller than the sum of its proper divisors (947836960).

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

497876960 is a wasteful number, since it uses less digits than its factorization.

497876960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 56.

The square root of 497876960 is about 22313.1566570040. The cubic root of 497876960 is about 792.5755602706.

The spelling of 497876960 in words is "four hundred ninety-seven million, eight hundred seventy-six thousand, nine hundred sixty".