497225044800 has 2016 divisors, whose sum is σ = 2187434995200. Its totient is φ = 109734912000.

The previous prime is 497225044787. The next prime is 497225044801. The reversal of 497225044800 is 8440522794.

497225044800 is a `hidden beast` number, since 49 + 7 + 22 + 504 + 4 + 80 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (497225044801) by changing a digit.

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 287 ways as a sum of consecutive naturals, for example, 2356516695 + ... + 2356516905.

It is an arithmetic number, because the mean of its divisors is an integer number (1085037200).

Almost surely, 2^497225044800 is an apocalyptic number.

497225044800 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 497225044800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1093717497600).

497225044800 is an abundant number, since it is smaller than the sum of its proper divisors (1690209950400).

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

497225044800 is a wasteful number, since it uses less digits than its factorization.

497225044800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 497225044800 in words is "four hundred ninety-seven billion, two hundred twenty-five million, forty-four thousand, eight hundred".