| Base | Representation |
|---|---|
| bin | 11101000001101… |
| … | …100110100000000 |
| 3 | 1020221100101210000 |
| 4 | 131001230310000 |
| 5 | 1444132004320 |
| 6 | 120153440000 |
| 7 | 15032206140 |
| oct | 3501546400 |
| 9 | 1227311700 |
| 10 | 486984960 |
| 11 | 22a988010 |
| 12 | 117110000 |
| 13 | 79b790a7 |
| 14 | 48968920 |
| 15 | 2cb46c90 |
| hex | 1d06cd00 |
486984960 has 720 divisors, whose sum is σ = 2208108672. Its totient is φ = 99532800.
The previous prime is 486984959. The next prime is 486984961. The reversal of 486984960 is 69489684.
It is an interprime number because it is at equal distance from previous prime (486984959) and next prime (486984961).
It is a tau number, because it is divible by the number of its divisors (720).
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a junction number, because it is equal to n+sod(n) for n = 486984897 and 486984906.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (486984961) 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 79 ways as a sum of consecutive naturals, for example, 7983330 + ... + 7983390.
Almost surely, 2486984960 is an apocalyptic number.
486984960 is a gapful number since it is divisible by the number (40) 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 486984960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1104054336).
486984960 is an abundant number, since it is smaller than the sum of its proper divisors (1721123712).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
486984960 is a wasteful number, since it uses less digits than its factorization.
486984960 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 112 (or 89 counting only the distinct ones).
The product of its (nonzero) digits is 2985984, while the sum is 54.
The square root of 486984960 is about 22067.7357243556. The cubic root of 486984960 is about 786.7531967762.
The spelling of 486984960 in words is "four hundred eighty-six million, nine hundred eighty-four thousand, nine hundred sixty".
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