480918576 has 80 divisors (see below), whose sum is σ = 1384732800. Its totient is φ = 142930944.

The previous prime is 480918551. The next prime is 480918577. The reversal of 480918576 is 675819084.

It is a super-3 number, since 3×480918576³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (480918577) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6 + ... + 31013.

It is an arithmetic number, because the mean of its divisors is an integer number (17309160).

Almost surely, 2^480918576 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 480918576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (692366400).

480918576 is an abundant number, since it is smaller than the sum of its proper divisors (903814224).

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

480918576 is a wasteful number, since it uses less digits than its factorization.

480918576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31066 (or 31060 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 48.

The square root of 480918576 is about 21929.8558134795. The cubic root of 480918576 is about 783.4726687810.

The spelling of 480918576 in words is "four hundred eighty million, nine hundred eighteen thousand, five hundred seventy-six".