497471284800 has 2520 divisors, whose sum is σ = 2323195353600. Its totient is φ = 104248166400.

The previous prime is 497471284789. The next prime is 497471284879. The reversal of 497471284800 is 8482174794.

497471284800 is a `hidden beast` number, since 4 + 9 + 74 + 71 + 28 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2520).

It is a super-2 number, since 2×497471284800² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 359 ways as a sum of consecutive naturals, for example, 16047460785 + ... + 16047460815.

Almost surely, 2^497471284800 is an apocalyptic number.

497471284800 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 497471284800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1161597676800).

497471284800 is an abundant number, since it is smaller than the sum of its proper divisors (1825724068800).

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

497471284800 is a wasteful number, since it uses less digits than its factorization.

497471284800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 497471284800 in words is "four hundred ninety-seven billion, four hundred seventy-one million, two hundred eighty-four thousand, eight hundred".