| Base | Representation |
|---|---|
| bin | 11000000101011… |
| … | …100010011100000 |
| 3 | 1001011100101100000 |
| 4 | 120011130103200 |
| 5 | 1311421023330 |
| 6 | 104032500000 |
| 7 | 13004423223 |
| oct | 3005342340 |
| 9 | 1034311300 |
| 10 | 404079840 |
| 11 | 19810218a |
| 12 | b33aa600 |
| 13 | 6593c5c8 |
| 14 | 3b9475ba |
| 15 | 2571c560 |
| hex | 1815c4e0 |
404079840 has 288 divisors, whose sum is σ = 1508008320. Its totient is φ = 101896704.
The previous prime is 404079803. The next prime is 404079853. The reversal of 404079840 is 48970404.
It is a tau number, because it is divible by the number of its divisors (288).
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 junction number, because it is equal to n+sod(n) for n = 404079795 and 404079804.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 738447 + ... + 738993.
It is an arithmetic number, because the mean of its divisors is an integer number (5236140).
Almost surely, 2404079840 is an apocalyptic number.
404079840 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 404079840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (754004160).
404079840 is an abundant number, since it is smaller than the sum of its proper divisors (1103928480).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
404079840 is a wasteful number, since it uses less digits than its factorization.
404079840 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 596 (or 576 counting only the distinct ones).
The product of its (nonzero) digits is 32256, while the sum is 36.
The square root of 404079840 is about 20101.7372383583. The cubic root of 404079840 is about 739.3028740278.
The spelling of 404079840 in words is "four hundred four million, seventy-nine thousand, eight hundred forty".
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