480976216 has 64 divisors (see below), whose sum is σ = 1058503680. Its totient is φ = 200638080.

The previous prime is 480976213. The next prime is 480976231. The reversal of 480976216 is 612679084.

It is a super-3 number, since 3×480976216³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480976213) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 351165 + ... + 352531.

It is an arithmetic number, because the mean of its divisors is an integer number (16539120).

Almost surely, 2^480976216 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 480976216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529251840).

480976216 is an abundant number, since it is smaller than the sum of its proper divisors (577527464).

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

480976216 is a wasteful number, since it uses less digits than its factorization.

480976216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1544 (or 1540 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 43.

The square root of 480976216 is about 21931.1699642313. The cubic root of 480976216 is about 783.5039683001.

The spelling of 480976216 in words is "four hundred eighty million, nine hundred seventy-six thousand, two hundred sixteen".