480706596 has 96 divisors (see below), whose sum is σ = 1278668160. Its totient is φ = 156124800.

The previous prime is 480706579. The next prime is 480706607. The reversal of 480706596 is 695607084.

It is a super-3 number, since 3×480706596³ (a number of 27 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 862750 + ... + 863306.

It is an arithmetic number, because the mean of its divisors is an integer number (13319460).

Almost surely, 2^480706596 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 480706596, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639334080).

480706596 is an abundant number, since it is smaller than the sum of its proper divisors (797961564).

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

480706596 is a wasteful number, since it uses less digits than its factorization.

480706596 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 762 (or 754 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 480706596 is about 21925.0221436604. The cubic root of 480706596 is about 783.3575384503.

The spelling of 480706596 in words is "four hundred eighty million, seven hundred six thousand, five hundred ninety-six".