Base | Representation |
---|---|
bin | 1110000011010110000 |
3 | 212101122020 |
4 | 1300122300 |
5 | 104213324 |
6 | 13511440 |
7 | 3625314 |
oct | 1603260 |
9 | 771566 |
10 | 460464 |
11 | 294a54 |
12 | 1a2580 |
13 | 131784 |
14 | bdb44 |
15 | 91679 |
hex | 706b0 |
460464 has 40 divisors (see below), whose sum is σ = 1218672. Its totient is φ = 149760.
The previous prime is 460463. The next prime is 460477. The reversal of 460464 is 464064.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is not an unprimeable number, because it can be changed into a prime (460463) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2454 + ... + 2634.
2460464 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 460464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609336).
460464 is an abundant number, since it is smaller than the sum of its proper divisors (758208).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
460464 is a wasteful number, since it uses less digits than its factorization.
460464 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 245 (or 239 counting only the distinct ones).
The product of its (nonzero) digits is 2304, while the sum is 24.
The square root of 460464 is about 678.5749774343. The cubic root of 460464 is about 77.2203727989.
Subtracting 460464 from its reverse (464064), we obtain a square (3600 = 602).
The spelling of 460464 in words is "four hundred sixty thousand, four hundred sixty-four".
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