480303040 has 112 divisors (see below), whose sum is σ = 1384108992. Its totient is φ = 154976256.

The previous prime is 480303037. The next prime is 480303041. The reversal of 480303040 is 40303084.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480303041) 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 15 ways as a sum of consecutive naturals, for example, 31774 + ... + 44386.

It is an arithmetic number, because the mean of its divisors is an integer number (12358116).

Almost surely, 2^480303040 is an apocalyptic number.

480303040 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 480303040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (692054496).

480303040 is an abundant number, since it is smaller than the sum of its proper divisors (903805952).

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

480303040 is a wasteful number, since it uses less digits than its factorization.

480303040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12654 (or 12644 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 480303040 is about 21915.8171191494. The cubic root of 480303040 is about 783.1382659997.

The spelling of 480303040 in words is "four hundred eighty million, three hundred three thousand, forty".