| Base | Representation |
|---|---|
| bin | 10111111010111… |
| … | …101111000000000 |
| 3 | 1000222011212102100 |
| 4 | 113322331320000 |
| 5 | 1310220140020 |
| 6 | 103453550400 |
| 7 | 12642165162 |
| oct | 2772757000 |
| 9 | 1028155370 |
| 10 | 401333760 |
| 11 | 1965a6aa3 |
| 12 | b24a5400 |
| 13 | 651ba6c9 |
| 14 | 3b430932 |
| 15 | 25378a90 |
| hex | 17ebde00 |
401333760 has 120 divisors (see below), whose sum is σ = 1390011480. Its totient is φ = 107016192.
The previous prime is 401333683. The next prime is 401333767. The reversal of 401333760 is 67333104.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (120).
It is a super-2 number, since 2×4013337602 = 322137573831475200, which contains 22 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (401333767) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14331 + ... + 31749.
It is an arithmetic number, because the mean of its divisors is an integer number (11583429).
Almost surely, 2401333760 is an apocalyptic number.
401333760 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 401333760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (695005740).
401333760 is an abundant number, since it is smaller than the sum of its proper divisors (988677720).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
401333760 is a wasteful number, since it uses less digits than its factorization.
401333760 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 17448 (or 17429 counting only the distinct ones).
The product of its (nonzero) digits is 4536, while the sum is 27.
The square root of 401333760 is about 20033.3162506860. The cubic root of 401333760 is about 737.6243268327.
Adding to 401333760 its reverse (67333104), we get a palindrome (468666864).
It can be divided in two parts, 4013 and 33760, that added together give a palindrome (37773).
The spelling of 401333760 in words is "four hundred one million, three hundred thirty-three thousand, seven hundred sixty".
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