480999168 has 288 divisors, whose sum is σ = 1576169280. Its totient is φ = 143769600.

The previous prime is 480999137. The next prime is 480999179. The reversal of 480999168 is 861999084.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×480999168³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 4762318 + ... + 4762418.

It is an arithmetic number, because the mean of its divisors is an integer number (5472810).

Almost surely, 2^480999168 is an apocalyptic number.

480999168 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 480999168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (788084640).

480999168 is an abundant number, since it is smaller than the sum of its proper divisors (1095170112).

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

480999168 is a wasteful number, since it uses less digits than its factorization.

480999168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 54.

The square root of 480999168 is about 21931.6932314858. The cubic root of 480999168 is about 783.5164309379.

The spelling of 480999168 in words is "four hundred eighty million, nine hundred ninety-nine thousand, one hundred sixty-eight".