479200 has 36 divisors (see below), whose sum is σ = 1171800. Its totient is φ = 191360.

The previous prime is 479191. The next prime is 479201. The reversal of 479200 is 2974.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (479201) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 501 + ... + 1099.

It is an arithmetic number, because the mean of its divisors is an integer number (32550).

2⁴⁷⁹²⁰⁰ is an apocalyptic number.

479200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

479200 is the 400-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 479200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585900).

479200 is an abundant number, since it is smaller than the sum of its proper divisors (692600).

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

479200 is a wasteful number, since it uses less digits than its factorization.

479200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 619 (or 606 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 22.

The square root of 479200 is about 692.2427319951. The cubic root of 479200 is about 78.2538301058.

The spelling of 479200 in words is "four hundred seventy-nine thousand, two hundred".