497352960 has 504 divisors, whose sum is σ = 1970469144. Its totient is φ = 119439360.

The previous prime is 497352959. The next prime is 497352967. The reversal of 497352960 is 69253794.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 11943936 + 485409024 = 3456^2 + 22032^2 .

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

It is not an unprimeable number, because it can be changed into a prime (497352967) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 12130540 + ... + 12130580.

It is an arithmetic number, because the mean of its divisors is an integer number (3909661).

Almost surely, 2^497352960 is an apocalyptic number.

497352960 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 497352960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (985234572).

497352960 is an abundant number, since it is smaller than the sum of its proper divisors (1473116184).

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

497352960 is an equidigital number, since it uses as much as digits as its factorization.

497352960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The square root of 497352960 is about 22301.4116145144. The cubic root of 497352960 is about 792.2974089652.

The spelling of 497352960 in words is "four hundred ninety-seven million, three hundred fifty-two thousand, nine hundred sixty".