| Base | Representation |
|---|---|
| bin | 11011110100101… |
| … | …001110101010000 |
| 3 | 1012112100021022000 |
| 4 | 123310221311100 |
| 5 | 1423444201124 |
| 6 | 114152514000 |
| 7 | 14365425660 |
| oct | 3364516520 |
| 9 | 1175307260 |
| 10 | 466787664 |
| 11 | 21a542532 |
| 12 | 1103ab900 |
| 13 | 75926c25 |
| 14 | 45dcc1a0 |
| 15 | 2aea76c9 |
| hex | 1bd29d50 |
466787664 has 160 divisors (see below), whose sum is σ = 1542282240. Its totient is φ = 132409728.
The previous prime is 466787663. The next prime is 466787681.
It is a happy number.
466787664 is nontrivially palindromic in base 10.
It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a nude number because it is divisible by every one of its digits.
Its product of digits (8128512) is a multiple of the sum of its prime factors (1134).
It is a self number, because there is not a number n which added to its sum of digits gives 466787664.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (466787663) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 492439 + ... + 493385.
It is an arithmetic number, because the mean of its divisors is an integer number (9639264).
Almost surely, 2466787664 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 466787664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (771141120).
466787664 is an abundant number, since it is smaller than the sum of its proper divisors (1075494576).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
466787664 is a wasteful number, since it uses less digits than its factorization.
466787664 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1134 (or 1122 counting only the distinct ones).
The product of its digits is 8128512, while the sum is 54.
The square root of 466787664 is about 21605.2693572656. The cubic root of 466787664 is about 775.7226220177.
The spelling of 466787664 in words is "four hundred sixty-six million, seven hundred eighty-seven thousand, six hundred sixty-four".
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