| Base | Representation |
|---|---|
| bin | 11000010110000… |
| … | …000010101100000 |
| 3 | 1001110111222021200 |
| 4 | 120112000111200 |
| 5 | 1314023443403 |
| 6 | 104305521200 |
| 7 | 13056345621 |
| oct | 3026002540 |
| 9 | 1043458250 |
| 10 | 408421728 |
| 11 | 19a5a8320 |
| 12 | b4943200 |
| 13 | 667cc980 |
| 14 | 3c357a48 |
| 15 | 25cc8ca3 |
| hex | 18580560 |
408421728 has 288 divisors, whose sum is σ = 1400136192. Its totient is φ = 111283200.
The previous prime is 408421723. The next prime is 408421733. The reversal of 408421728 is 827124804.
It is an interprime number because it is at equal distance from previous prime (408421723) and next prime (408421733).
It is a tau number, because it is divible by the number of its divisors (288).
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 = 408421692 and 408421701.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (408421723) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1935543 + ... + 1935753.
It is an arithmetic number, because the mean of its divisors is an integer number (4861584).
Almost surely, 2408421728 is an apocalyptic number.
408421728 is a gapful number since it is divisible by the number (48) 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 408421728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (700068096).
408421728 is an abundant number, since it is smaller than the sum of its proper divisors (991714464).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
408421728 is a wasteful number, since it uses less digits than its factorization.
408421728 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 298 (or 287 counting only the distinct ones).
The product of its (nonzero) digits is 28672, while the sum is 36.
The square root of 408421728 is about 20209.4465040485. The cubic root of 408421728 is about 741.9414130235.
The spelling of 408421728 in words is "four hundred eight million, four hundred twenty-one thousand, seven hundred twenty-eight".
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