479201100 has 288 divisors, whose sum is σ = 1735888896. Its totient is φ = 99532800.

The previous prime is 479201059. The next prime is 479201111. The reversal of 479201100 is 1102974.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1106484 + ... + 1106916.

It is an arithmetic number, because the mean of its divisors is an integer number (6027392).

Almost surely, 2^479201100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 479201100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (867944448).

479201100 is an abundant number, since it is smaller than the sum of its proper divisors (1256687796).

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

479201100 is a wasteful number, since it uses less digits than its factorization.

479201100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 479201100 is about 21890.6623929017. The cubic root of 479201100 is about 782.5388998276.

The spelling of 479201100 in words is "four hundred seventy-nine million, two hundred one thousand, one hundred".