480616968 has 64 divisors (see below), whose sum is σ = 1297396800. Its totient is φ = 147490560.

The previous prime is 480616967. The next prime is 480616991. The reversal of 480616968 is 869616084.

It is a super-3 number, since 3×480616968³ (a number of 27 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (480616967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 129523 + ... + 133181.

It is an arithmetic number, because the mean of its divisors is an integer number (20271825).

Almost surely, 2^480616968 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 480616968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (648698400).

480616968 is an abundant number, since it is smaller than the sum of its proper divisors (816779832).

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

480616968 is a wasteful number, since it uses less digits than its factorization.

480616968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4102 (or 4098 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 48.

The square root of 480616968 is about 21922.9780823683. The cubic root of 480616968 is about 783.3088496145.

The spelling of 480616968 in words is "four hundred eighty million, six hundred sixteen thousand, nine hundred sixty-eight".