| Base | Representation |
|---|---|
| bin | 11000000111100… |
| … | …101100011010000 |
| 3 | 1001012101221110202 |
| 4 | 120013211203100 |
| 5 | 1312042021000 |
| 6 | 104052514332 |
| 7 | 13012254200 |
| oct | 3007454320 |
| 9 | 1035357422 |
| 10 | 404642000 |
| 11 | 198456584 |
| 12 | b361b9a8 |
| 13 | 65aa8449 |
| 14 | 3ba52400 |
| 15 | 257cddd5 |
| hex | 181e58d0 |
404642000 has 120 divisors (see below), whose sum is σ = 1138442760. Its totient is φ = 138700800.
The previous prime is 404641987. The next prime is 404642009. The reversal of 404642000 is 246404.
404642000 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 4 ways, for example, as 13868176 + 390773824 = 3724^2 + 19768^2 .
It is a Harshad number since it is a multiple of its sum of digits (20).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (404642009) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 95936 + ... + 100064.
It is an arithmetic number, because the mean of its divisors is an integer number (9487023).
Almost surely, 2404642000 is an apocalyptic number.
404642000 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 404642000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569221380).
404642000 is an abundant number, since it is smaller than the sum of its proper divisors (733800760).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
404642000 is a wasteful number, since it uses less digits than its factorization.
404642000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 4166 (or 4143 counting only the distinct ones).
The product of its (nonzero) digits is 768, while the sum is 20.
The square root of 404642000 is about 20115.7152495257. The cubic root of 404642000 is about 739.6455570650.
Adding to 404642000 its reverse (246404), we get a palindrome (404888404).
The spelling of 404642000 in words is "four hundred four million, six hundred forty-two thousand".
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