| Base | Representation |
|---|---|
| bin | 100101100110010… |
| … | …001000100110000 |
| 3 | 1121221221101000100 |
| 4 | 211212101010300 |
| 5 | 2242440212100 |
| 6 | 142331552400 |
| 7 | 21426420144 |
| oct | 4546210460 |
| 9 | 1557841010 |
| 10 | 630788400 |
| 11 | 2a4077730 |
| 12 | 1572bb700 |
| 13 | a08b8698 |
| 14 | 5dabd224 |
| 15 | 3a5a0400 |
| hex | 25991130 |
630788400 has 360 divisors, whose sum is σ = 2531181744. Its totient is φ = 143769600.
The previous prime is 630788393. The next prime is 630788407. The reversal of 630788400 is 4887036.
630788400 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (630788393) and next prime (630788407).
It is a tau number, because it is divible by the number of its divisors (360).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is not an unprimeable number, because it can be changed into a prime (630788407) by changing a digit.
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 71 ways as a sum of consecutive naturals, for example, 672732 + ... + 673668.
Almost surely, 2630788400 is an apocalyptic number.
630788400 is a gapful number since it is divisible by the number (60) 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 630788400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1265590872).
630788400 is an abundant number, since it is smaller than the sum of its proper divisors (1900393344).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
630788400 is a wasteful number, since it uses less digits than its factorization.
630788400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 989 (or 975 counting only the distinct ones).
The product of its (nonzero) digits is 32256, while the sum is 36.
The square root of 630788400 is about 25115.5011895045. The cubic root of 630788400 is about 857.6193398378.
The spelling of 630788400 in words is "six hundred thirty million, seven hundred eighty-eight thousand, four hundred".
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