| Base | Representation |
|---|---|
| bin | 11000011011000… |
| … | …011001011010000 |
| 3 | 1001120000011012200 |
| 4 | 120123003023100 |
| 5 | 1314343302310 |
| 6 | 104354123200 |
| 7 | 13103524104 |
| oct | 3033031320 |
| 9 | 1046004180 |
| 10 | 409744080 |
| 11 | 1a0320879 |
| 12 | b5280500 |
| 13 | 66b73825 |
| 14 | 3c5bd904 |
| 15 | 25e8a9c0 |
| hex | 186c32d0 |
409744080 has 240 divisors, whose sum is σ = 1455442560. Its totient is φ = 103099392.
The previous prime is 409744079. The next prime is 409744129. The reversal of 409744080 is 80447904.
It is a tau number, because it is divible by the number of its divisors (240).
It is a super-2 number, since 2×4097440802 = 335780422190092800, which contains 22 as substring.
It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1804927 + ... + 1805153.
It is an arithmetic number, because the mean of its divisors is an integer number (6064344).
Almost surely, 2409744080 is an apocalyptic number.
409744080 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 409744080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (727721280).
409744080 is an abundant number, since it is smaller than the sum of its proper divisors (1045698480).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
409744080 is a wasteful number, since it uses less digits than its factorization.
409744080 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 378 (or 369 counting only the distinct ones).
The product of its (nonzero) digits is 32256, while the sum is 36.
The square root of 409744080 is about 20242.1362509000. The cubic root of 409744080 is about 742.7412813104.
It can be divided in two parts, 40974 and 4080, that added together give a palindrome (45054).
The spelling of 409744080 in words is "four hundred nine million, seven hundred forty-four thousand, eighty".
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