479500819200 has 1296 divisors, whose sum is σ = 1969385055456. Its totient is φ = 114661785600.

The previous prime is 479500819157. The next prime is 479500819201. The reversal of 479500819200 is 2918005974.

479500819200 is a `hidden beast` number, since 47 + 9 + 500 + 81 + 9 + 20 + 0 = 666.

479500819200 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a super-2 number, since 2×479500819200² (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 not an unprimeable number, because it can be changed into a prime (479500819201) 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, 748050880 + ... + 748051520.

Almost surely, 2^479500819200 is an apocalyptic number.

479500819200 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 479500819200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (984692527728).

479500819200 is an abundant number, since it is smaller than the sum of its proper divisors (1489884236256).

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

479500819200 is a wasteful number, since it uses less digits than its factorization.

479500819200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 732 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 479500819200 in words is "four hundred seventy-nine billion, five hundred million, eight hundred nineteen thousand, two hundred".