479551363200 has 1728 divisors, whose sum is σ = 2195632595520. Its totient is φ = 100776960000.

The previous prime is 479551363051. The next prime is 479551363201. The reversal of 479551363200 is 2363155974.

479551363200 is a `hidden beast` number, since 4 + 7 + 9 + 5 + 5 + 1 + 3 + 632 + 0 + 0 = 666.

479551363200 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 (1728).

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 (479551363201) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1910563075 + ... + 1910563325.

It is an arithmetic number, because the mean of its divisors is an integer number (1270620715).

Almost surely, 2^479551363200 is an apocalyptic number.

479551363200 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 479551363200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1097816297760).

479551363200 is an abundant number, since it is smaller than the sum of its proper divisors (1716081232320).

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

479551363200 is an equidigital number, since it uses as much as digits as its factorization.

479551363200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The spelling of 479551363200 in words is "four hundred seventy-nine billion, five hundred fifty-one million, three hundred sixty-three thousand, two hundred".