479044729800 has 2304 divisors, whose sum is σ = 2195859456000. Its totient is φ = 93809664000.

The previous prime is 479044729799. The next prime is 479044729819. The reversal of 479044729800 is 8927440974.

It is a happy number.

479044729800 is a `hidden beast` number, since 4 + 7 + 90 + 4 + 472 + 9 + 80 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 8119402171 + ... + 8119402229.

It is an arithmetic number, because the mean of its divisors is an integer number (953064000).

Almost surely, 2^479044729800 is an apocalyptic number.

479044729800 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 479044729800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1097929728000).

479044729800 is an abundant number, since it is smaller than the sum of its proper divisors (1716814726200).

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

479044729800 is a wasteful number, since it uses less digits than its factorization.

479044729800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 479044729800 in words is "four hundred seventy-nine billion, forty-four million, seven hundred twenty-nine thousand, eight hundred".