| Base | Representation |
|---|---|
| bin | 11011011110000… |
| … | …100001011000000 |
| 3 | 1012010012102122000 |
| 4 | 123132010023000 |
| 5 | 1420440204430 |
| 6 | 113421544000 |
| 7 | 14264204232 |
| oct | 3336041300 |
| 9 | 1163172560 |
| 10 | 460866240 |
| 11 | 21716869a |
| 12 | 10a415000 |
| 13 | 74632923 |
| 14 | 452ca252 |
| 15 | 2a6d7e60 |
| hex | 1b7842c0 |
460866240 has 224 divisors, whose sum is σ = 1666768320. Its totient is φ = 119808000.
The previous prime is 460866233. The next prime is 460866257. The reversal of 460866240 is 42668064.
It is a happy number.
460866240 is a `hidden beast` number, since 4 + 608 + 6 + 6 + 2 + 40 = 666.
It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 460866195 and 460866204.
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, 353590 + ... + 354890.
It is an arithmetic number, because the mean of its divisors is an integer number (7440930).
Almost surely, 2460866240 is an apocalyptic number.
460866240 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 460866240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (833384160).
460866240 is an abundant number, since it is smaller than the sum of its proper divisors (1205902080).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
460866240 is a wasteful number, since it uses less digits than its factorization.
460866240 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1368 (or 1352 counting only the distinct ones).
The product of its (nonzero) digits is 55296, while the sum is 36.
The square root of 460866240 is about 21467.7954154589. The cubic root of 460866240 is about 772.4285163376.
It can be divided in two parts, 46086 and 6240, that added together give a triangular number (52326 = T323).
The spelling of 460866240 in words is "four hundred sixty million, eight hundred sixty-six thousand, two hundred forty".
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