| Base | Representation |
|---|---|
| bin | 1100000010000000111… |
| … | …10010111000011000000 |
| 3 | 1110112001110022210022100 |
| 4 | 12001000132113003000 |
| 5 | 23233120012422320 |
| 6 | 513525045510400 |
| 7 | 41603254534650 |
| oct | 6010036270300 |
| 9 | 1415043283270 |
| 10 | 413398560960 |
| 11 | 14a35978a580 |
| 12 | 68152412400 |
| 13 | 2cca2469618 |
| 14 | 1601983a360 |
| 15 | ab47d27790 |
| hex | 60407970c0 |
413398560960 has 672 divisors, whose sum is σ = 1820731041792. Its totient is φ = 83577692160.
The previous prime is 413398560947. The next prime is 413398560973. The reversal of 413398560960 is 69065893314.
413398560960 is a `hidden beast` number, since 4 + 13 + 3 + 9 + 8 + 560 + 9 + 60 = 666.
It is an interprime number because it is at equal distance from previous prime (413398560947) and next prime (413398560973).
It is a tau number, because it is divible by the number of its divisors (672).
It is a super-3 number, since 3×4133985609603 (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a junction number, because it is equal to n+sod(n) for n = 413398560897 and 413398560906.
It is an unprimeable number.
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 95 ways as a sum of consecutive naturals, for example, 8179929 + ... + 8230311.
Almost surely, 2413398560960 is an apocalyptic number.
413398560960 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 413398560960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (910365520896).
413398560960 is an abundant number, since it is smaller than the sum of its proper divisors (1407332480832).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
413398560960 is a wasteful number, since it uses less digits than its factorization.
413398560960 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 50461 (or 50448 counting only the distinct ones).
The product of its (nonzero) digits is 4199040, while the sum is 54.
The spelling of 413398560960 in words is "four hundred thirteen billion, three hundred ninety-eight million, five hundred sixty thousand, nine hundred sixty".
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