| Base | Representation |
|---|---|
| bin | 10111111011100… |
| … | …001100000000000 |
| 3 | 1000222110021120210 |
| 4 | 113323201200000 |
| 5 | 1310234322210 |
| 6 | 103501034120 |
| 7 | 12643343460 |
| oct | 2773414000 |
| 9 | 1028407523 |
| 10 | 401479680 |
| 11 | 196696698 |
| 12 | b2555940 |
| 13 | 6523bc54 |
| 14 | 3b46bba0 |
| 15 | 253a6e20 |
| hex | 17ee1800 |
401479680 has 192 divisors, whose sum is σ = 1468696320. Its totient is φ = 91717632.
The previous prime is 401479679. The next prime is 401479681. The reversal of 401479680 is 86974104.
It is a happy number.
It is an interprime number because it is at equal distance from previous prime (401479679) and next prime (401479681).
It is a tau number, because it is divible by the number of its divisors (192).
It is a super-2 number, since 2×4014796802 = 322371866905804800, which contains 22 as substring.
It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (401479681) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 214107 + ... + 215973.
It is an arithmetic number, because the mean of its divisors is an integer number (7649460).
Almost surely, 2401479680 is an apocalyptic number.
401479680 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 401479680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (734348160).
401479680 is an abundant number, since it is smaller than the sum of its proper divisors (1067216640).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
401479680 is a wasteful number, since it uses less digits than its factorization.
401479680 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1904 (or 1884 counting only the distinct ones).
The product of its (nonzero) digits is 48384, while the sum is 39.
The square root of 401479680 is about 20036.9578529277. The cubic root of 401479680 is about 737.7137130331.
The spelling of 401479680 in words is "four hundred one million, four hundred seventy-nine thousand, six hundred eighty".
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