| Base | Representation |
|---|---|
| bin | 11101100011001… |
| … | …101000111000000 |
| 3 | 1021112212121211210 |
| 4 | 131203031013000 |
| 5 | 2003404034000 |
| 6 | 121110010120 |
| 7 | 15166646520 |
| oct | 3543150700 |
| 9 | 1245777753 |
| 10 | 495768000 |
| 11 | 234936922 |
| 12 | 11a046940 |
| 13 | 7b932a60 |
| 14 | 49bb3680 |
| 15 | 2d7ce350 |
| hex | 1d8cd1c0 |
495768000 has 448 divisors, whose sum is σ = 2023676928. Its totient is φ = 104140800.
The previous prime is 495767999. The next prime is 495768001. The reversal of 495768000 is 867594.
It is an interprime number because it is at equal distance from previous prime (495767999) and next prime (495768001).
It is a tau number, because it is divible by the number of its divisors (448).
It is a Harshad number since it is a multiple of its sum of digits (39).
It is a self number, because there is not a number n which added to its sum of digits gives 495768000.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (495768001) 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 63 ways as a sum of consecutive naturals, for example, 2183887 + ... + 2184113.
It is an arithmetic number, because the mean of its divisors is an integer number (4517136).
Almost surely, 2495768000 is an apocalyptic number.
495768000 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 495768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1011838464).
495768000 is an abundant number, since it is smaller than the sum of its proper divisors (1527908928).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
495768000 is a wasteful number, since it uses less digits than its factorization.
495768000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 277 (or 257 counting only the distinct ones).
The product of its (nonzero) digits is 60480, while the sum is 39.
The square root of 495768000 is about 22265.8482883541. The cubic root of 495768000 is about 791.4548845630.
The spelling of 495768000 in words is "four hundred ninety-five million, seven hundred sixty-eight thousand".
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