| Base | Representation |
|---|---|
| bin | 11100100000100… |
| … | …001100011010000 |
| 3 | 1020022222112220100 |
| 4 | 130200201203100 |
| 5 | 1434420204310 |
| 6 | 115243212400 |
| 7 | 14565244614 |
| oct | 3440414320 |
| 9 | 1208875810 |
| 10 | 478288080 |
| 11 | 225a87a06 |
| 12 | 114217100 |
| 13 | 781226ca |
| 14 | 47743344 |
| 15 | 2bec9ec0 |
| hex | 1c8218d0 |
478288080 has 60 divisors (see below), whose sum is σ = 1606253220. Its totient is φ = 127543296.
The previous prime is 478288073. The next prime is 478288087. The reversal of 478288080 is 80882874.
478288080 is a `hidden beast` number, since 478 + 28 + 80 + 80 = 666.
It is an interprime number because it is at equal distance from previous prime (478288073) and next prime (478288087).
It can be written as a sum of positive squares in 2 ways, for example, as 378847296 + 99440784 = 19464^2 + 9972^2 .
It is a tau number, because it is divible by the number of its divisors (60).
It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (45).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (478288087) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 331425 + ... + 332864.
It is an arithmetic number, because the mean of its divisors is an integer number (26770887).
Almost surely, 2478288080 is an apocalyptic number.
478288080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.
It is an amenable number.
478288080 is an abundant number, since it is smaller than the sum of its proper divisors (1127965140).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
478288080 is a wasteful number, since it uses less digits than its factorization.
478288080 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 664308 (or 664299 counting only the distinct ones).
The product of its (nonzero) digits is 229376, while the sum is 45.
The square root of 478288080 is about 21869.7983529798. The cubic root of 478288080 is about 782.0415944106.
The spelling of 478288080 in words is "four hundred seventy-eight million, two hundred eighty-eight thousand, eighty".
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