480735096 has 16 divisors (see below), whose sum is σ = 1201837800. Its totient is φ = 160245024.

The previous prime is 480735077. The next prime is 480735097. The reversal of 480735096 is 690537084.

It is a happy number.

It is a super-3 number, since 3×480735096³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480735097) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10015291 + ... + 10015338.

Almost surely, 2^480735096 is an apocalyptic number.

It is an amenable number.

480735096 is an abundant number, since it is smaller than the sum of its proper divisors (721102704).

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

480735096 is a wasteful number, since it uses less digits than its factorization.

480735096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20030638 (or 20030634 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 480735096 is about 21925.6720763583. The cubic root of 480735096 is about 783.3730193062.

It can be divided in two parts, 4807 and 35096, that added together give a triangular number (39903 = T₂₈₂).

The spelling of 480735096 in words is "four hundred eighty million, seven hundred thirty-five thousand, ninety-six".