479853158400 has 2688 divisors, whose sum is σ = 2340278784000. Its totient is φ = 95374540800.

The previous prime is 479853158363. The next prime is 479853158417. The reversal of 479853158400 is 4851358974.

479853158400 is a `hidden beast` number, since 4 + 7 + 9 + 8 + 53 + 1 + 584 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2688).

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

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 20863180789 + ... + 20863180811.

Almost surely, 2^479853158400 is an apocalyptic number.

479853158400 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 479853158400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1170139392000).

479853158400 is an abundant number, since it is smaller than the sum of its proper divisors (1860425625600).

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

479853158400 is a wasteful number, since it uses less digits than its factorization.

479853158400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 479853158400 in words is "four hundred seventy-nine billion, eight hundred fifty-three million, one hundred fifty-eight thousand, four hundred".