479836800 has 144 divisors (see below), whose sum is σ = 1712270430. Its totient is φ = 127948800.

The previous prime is 479836789. The next prime is 479836801. The reversal of 479836800 is 8638974.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 353139264 + 126697536 = 18792^2 + 11256^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (479836801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 20470 + ... + 37130.

Almost surely, 2^479836800 is an apocalyptic number.

479836800 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 479836800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (856135215).

479836800 is an abundant number, since it is smaller than the sum of its proper divisors (1232433630).

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

479836800 is a wasteful number, since it uses less digits than its factorization.

479836800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16691 (or 16671 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 479836800 is about 21905.1774701781. The cubic root of 479836800 is about 782.8847811751.

The spelling of 479836800 in words is "four hundred seventy-nine million, eight hundred thirty-six thousand, eight hundred".