480437568 has 140 divisors (see below), whose sum is σ = 1533933940. Its totient is φ = 147806208.

The previous prime is 480437557. The next prime is 480437569. The reversal of 480437568 is 865734084.

480437568 is a `hidden beast` number, since 4 + 80 + 4 + 3 + 7 + 568 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 179345664 + 301091904 = 13392^2 + 17352^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480437569) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 63828 + ... + 70956.

It is an arithmetic number, because the mean of its divisors is an integer number (10956671).

Almost surely, 2^480437568 is an apocalyptic number.

480437568 is a gapful number since it is divisible by the number (48) 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 480437568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (766966970).

480437568 is an abundant number, since it is smaller than the sum of its proper divisors (1053496372).

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

480437568 is a wasteful number, since it uses less digits than its factorization.

480437568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7166 (or 7147 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 480437568 is about 21918.8861030847. The cubic root of 480437568 is about 783.2113755307.

It can be divided in two parts, 48043 and 7568, that added together give a triangular number (55611 = T₃₃₃).

The spelling of 480437568 in words is "four hundred eighty million, four hundred thirty-seven thousand, five hundred sixty-eight".