480304836 has 96 divisors (see below), whose sum is σ = 1362936960. Its totient is φ = 145065600.

The previous prime is 480304823. The next prime is 480304841. The reversal of 480304836 is 638403084.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 480304836.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 547230 + ... + 548106.

It is an arithmetic number, because the mean of its divisors is an integer number (14197260).

Almost surely, 2^480304836 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 480304836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (681468480).

480304836 is an abundant number, since it is smaller than the sum of its proper divisors (882632124).

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

480304836 is a wasteful number, since it uses less digits than its factorization.

480304836 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1362 (or 1354 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 480304836 is about 21915.8580940834. The cubic root of 480304836 is about 783.1392421296.

It can be divided in two parts, 4803048 and 36, that added together give a palindrome (4803084).

The spelling of 480304836 in words is "four hundred eighty million, three hundred four thousand, eight hundred thirty-six".