| Base | Representation |
|---|---|
| bin | 11011010100001… |
| … | …001111101000000 |
| 3 | 1011221022110011200 |
| 4 | 123110021331000 |
| 5 | 1414304042410 |
| 6 | 113250141200 |
| 7 | 14233134465 |
| oct | 3324117500 |
| 9 | 1157273150 |
| 10 | 458268480 |
| 11 | 21575398a |
| 12 | 109581800 |
| 13 | 73c333a7 |
| 14 | 44c1166c |
| 15 | 2a3733c0 |
| hex | 1b509f40 |
458268480 has 168 divisors, whose sum is σ = 1615113864. Its totient is φ = 119193600.
The previous prime is 458268463. The next prime is 458268487. The reversal of 458268480 is 84862854.
458268480 is a `hidden beast` number, since 4 + 582 + 68 + 4 + 8 + 0 = 666.
It can be written as a sum of positive squares in 4 ways, for example, as 5089536 + 453178944 = 2256^2 + 21288^2 .
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 (458268487) 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 23 ways as a sum of consecutive naturals, for example, 116140 + ... + 120020.
It is an arithmetic number, because the mean of its divisors is an integer number (9613773).
Almost surely, 2458268480 is an apocalyptic number.
458268480 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 458268480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (807556932).
458268480 is an abundant number, since it is smaller than the sum of its proper divisors (1156845384).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
458268480 is a wasteful number, since it uses less digits than its factorization.
458268480 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3945 (or 3932 counting only the distinct ones).
The product of its (nonzero) digits is 491520, while the sum is 45.
The square root of 458268480 is about 21407.2062633124. The cubic root of 458268480 is about 770.9744676047.
The spelling of 458268480 in words is "four hundred fifty-eight million, two hundred sixty-eight thousand, four hundred eighty".
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