497016748800 has 1296 divisors, whose sum is σ = 2115660089088. Its totient is φ = 109729382400.

The previous prime is 497016748751. The next prime is 497016748843. The reversal of 497016748800 is 8847610794.

It is a happy number.

497016748800 is a `hidden beast` number, since 497 + 0 + 1 + 6 + 74 + 8 + 80 + 0 = 666.

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 143 ways as a sum of consecutive naturals, for example, 683654037 + ... + 683654763.

Almost surely, 2^497016748800 is an apocalyptic number.

497016748800 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 497016748800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1057830044544).

497016748800 is an abundant number, since it is smaller than the sum of its proper divisors (1618643340288).

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

497016748800 is a wasteful number, since it uses less digits than its factorization.

497016748800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 866 (or 844 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 497016748800 in words is "four hundred ninety-seven billion, sixteen million, seven hundred forty-eight thousand, eight hundred".