497601216 has 168 divisors, whose sum is σ = 1642018560. Its totient is φ = 141129216.

The previous prime is 497601211. The next prime is 497601229. The reversal of 497601216 is 612106794.

497601216 is a `hidden beast` number, since 49 + 7 + 601 + 2 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (497601211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 672975 + ... + 673713.

It is an arithmetic number, because the mean of its divisors is an integer number (9773920).

Almost surely, 2^497601216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 497601216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (821009280).

497601216 is an abundant number, since it is smaller than the sum of its proper divisors (1144417344).

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

497601216 is a wasteful number, since it uses less digits than its factorization.

497601216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 931 (or 918 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 497601216 is about 22306.9768458211. The cubic root of 497601216 is about 792.4292133267.

The spelling of 497601216 in words is "four hundred ninety-seven million, six hundred one thousand, two hundred sixteen".