| Base | Representation |
|---|---|
| bin | 11100011000100… |
| … | …111110101000000 |
| 3 | 1020012002022102100 |
| 4 | 130120213311000 |
| 5 | 1433402413030 |
| 6 | 115130550400 |
| 7 | 14541526464 |
| oct | 3430476500 |
| 9 | 1205068370 |
| 10 | 476216640 |
| 11 | 2248a2679 |
| 12 | 113598400 |
| 13 | 778788c3 |
| 14 | 473644a4 |
| 15 | 2bc1b360 |
| hex | 1c627d40 |
476216640 has 336 divisors, whose sum is σ = 1739097360. Its totient is φ = 119439360.
The previous prime is 476216623. The next prime is 476216683. The reversal of 476216640 is 46612674.
476216640 is a `hidden beast` number, since 4 + 7 + 6 + 2 + 1 + 6 + 640 = 666.
It can be written as a sum of positive squares in 8 ways, for example, as 278784 + 475937856 = 528^2 + 21816^2 .
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 = 476216595 and 476216604.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4368906 + ... + 4369014.
It is an arithmetic number, because the mean of its divisors is an integer number (5175885).
Almost surely, 2476216640 is an apocalyptic number.
476216640 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 476216640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (869548680).
476216640 is an abundant number, since it is smaller than the sum of its proper divisors (1262880720).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
476216640 is a wasteful number, since it uses less digits than its factorization.
476216640 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 210 (or 197 counting only the distinct ones).
The product of its (nonzero) digits is 48384, while the sum is 36.
The square root of 476216640 is about 21822.3885035530. The cubic root of 476216640 is about 780.9109672193.
The spelling of 476216640 in words is "four hundred seventy-six million, two hundred sixteen thousand, six hundred forty".
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