479711200 has 72 divisors (see below), whose sum is σ = 1176252840. Its totient is φ = 191040000.

The previous prime is 479711171. The next prime is 479711201. The reversal of 479711200 is 2117974.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (479711201) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 199606 + ... + 201994.

It is an arithmetic number, because the mean of its divisors is an integer number (16336845).

Almost surely, 2^479711200 is an apocalyptic number.

479711200 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 479711200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (588126420).

479711200 is an abundant number, since it is smaller than the sum of its proper divisors (696541640).

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

479711200 is a wasteful number, since it uses less digits than its factorization.

479711200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2660 (or 2647 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 31.

The square root of 479711200 is about 21902.3103804142. The cubic root of 479711200 is about 782.8164670391.

The spelling of 479711200 in words is "four hundred seventy-nine million, seven hundred eleven thousand, two hundred".