479201587200 has 936 divisors, whose sum is σ = 1996428470400. Its totient is φ = 107589795840.

The previous prime is 479201587171. The next prime is 479201587219. The reversal of 479201587200 is 2785102974.

It is a happy number.

479201587200 is a `hidden beast` number, since 47 + 9 + 2 + 0 + 1 + 587 + 20 + 0 = 666.

It is a super-2 number, since 2×479201587200² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 71 ways as a sum of consecutive naturals, for example, 380620171 + ... + 380621429.

It is an arithmetic number, because the mean of its divisors is an integer number (2132936400).

Almost surely, 2^479201587200 is an apocalyptic number.

479201587200 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 479201587200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (998214235200).

479201587200 is an abundant number, since it is smaller than the sum of its proper divisors (1517226883200).

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

479201587200 is a wasteful number, since it uses less digits than its factorization.

479201587200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1365 (or 1335 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 479201587200 in words is "four hundred seventy-nine billion, two hundred one million, five hundred eighty-seven thousand, two hundred".