497928127334400 has 1728 divisors, whose sum is σ = 2203810762083840. Its totient is φ = 104837677056000.

The previous prime is 497928127334389. The next prime is 497928127334401. The reversal of 497928127334400 is 4433721829794.

497928127334400 is a `hidden beast` number, since 4 + 9 + 7 + 9 + 281 + 2 + 7 + 3 + 344 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (497928127334401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2577157800 + ... + 2577351000.

It is an arithmetic number, because the mean of its divisors is an integer number (1275353450280).

Almost surely, 2^{497928127334400} is an apocalyptic number.

497928127334400 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 497928127334400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1101905381041920).

497928127334400 is an abundant number, since it is smaller than the sum of its proper divisors (1705882634749440).

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

497928127334400 is a wasteful number, since it uses less digits than its factorization.

497928127334400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193310 (or 193282 counting only the distinct ones).

The product of its (nonzero) digits is 73156608, while the sum is 63.

The spelling of 497928127334400 in words is "four hundred ninety-seven trillion, nine hundred twenty-eight billion, one hundred twenty-seven million, three hundred thirty-four thousand, four hundred".