480706352 has 80 divisors (see below), whose sum is σ = 1098215424. Its totient is φ = 199584000.

The previous prime is 480706351. The next prime is 480706357. The reversal of 480706352 is 253607084.

It is a happy number.

It is a super-3 number, since 3×480706352³ (a number of 27 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (480706351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 484577 + ... + 485567.

Almost surely, 2^480706352 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 480706352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549107712).

480706352 is an abundant number, since it is smaller than the sum of its proper divisors (617509072).

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

480706352 is a wasteful number, since it uses less digits than its factorization.

480706352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1138 (or 1132 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 35.

The square root of 480706352 is about 21925.0165792412. The cubic root of 480706352 is about 783.3574059098.

The spelling of 480706352 in words is "four hundred eighty million, seven hundred six thousand, three hundred fifty-two".