479955200 has 108 divisors (see below), whose sum is σ = 1250805360. Its totient is φ = 181831680.

The previous prime is 479955199. The next prime is 479955209. The reversal of 479955200 is 2559974.

It is not an unprimeable number, because it can be changed into a prime (479955209) 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 11 ways as a sum of consecutive naturals, for example, 119627 + ... + 123573.

Almost surely, 2^479955200 is an apocalyptic number.

479955200 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 479955200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (625402680).

479955200 is an abundant number, since it is smaller than the sum of its proper divisors (770850160).

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

479955200 is a wasteful number, since it uses less digits than its factorization.

479955200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3992 (or 3973 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 41.

The square root of 479955200 is about 21907.8798609085. The cubic root of 479955200 is about 782.9491682995.

The spelling of 479955200 in words is "four hundred seventy-nine million, nine hundred fifty-five thousand, two hundred".