480332538 has 128 divisors (see below), whose sum is σ = 1271808000. Its totient is φ = 131492160.

The previous prime is 480332533. The next prime is 480332543. The reversal of 480332538 is 835233084.

It is an interprime number because it is at equal distance from previous prime (480332533) and next prime (480332543).

It is not an unprimeable number, because it can be changed into a prime (480332533) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2097408 + ... + 2097636.

It is an arithmetic number, because the mean of its divisors is an integer number (9936000).

Almost surely, 2^480332538 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 480332538, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635904000).

480332538 is an abundant number, since it is smaller than the sum of its proper divisors (791475462).

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

480332538 is a wasteful number, since it uses less digits than its factorization.

480332538 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 480332538 is about 21916.4900930783. The cubic root of 480332538 is about 783.1542979196.

The spelling of 480332538 in words is "four hundred eighty million, three hundred thirty-two thousand, five hundred thirty-eight".