496849478400 has 648 divisors, whose sum is σ = 1970828233920. Its totient is φ = 118397952000.

The previous prime is 496849478371. The next prime is 496849478443. The reversal of 496849478400 is 4874948694.

496849478400 is a `hidden beast` number, since 4 + 9 + 68 + 494 + 7 + 84 + 0 + 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 71 ways as a sum of consecutive naturals, for example, 37375755 + ... + 37389045.

Almost surely, 2^496849478400 is an apocalyptic number.

496849478400 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 496849478400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (985414116960).

496849478400 is an abundant number, since it is smaller than the sum of its proper divisors (1473978755520).

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

496849478400 is a wasteful number, since it uses less digits than its factorization.

496849478400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13393 (or 13371 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 63.

The spelling of 496849478400 in words is "four hundred ninety-six billion, eight hundred forty-nine million, four hundred seventy-eight thousand, four hundred".