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463806 = 2347409
BaseRepresentation
bin1110001001110111110
3212120020000
41301032332
5104320211
613535130
73641130
oct1611676
9776200
10463806
11297512
121a44a6
13133155
14c1050
1592656
hex713be

463806 has 40 divisors (see below), whose sum is σ = 1190640. Its totient is φ = 132192.

The previous prime is 463787. The next prime is 463807. The reversal of 463806 is 608364.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is a nialpdrome in base 9.

It is a self number, because there is not a number n which added to its sum of digits gives 463806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (463807) by changing a digit.

463806 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 930 + ... + 1338.

It is an arithmetic number, because the mean of its divisors is an integer number (29766).

2463806 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 463806, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595320).

463806 is an abundant number, since it is smaller than the sum of its proper divisors (726834).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

463806 is a wasteful number, since it uses less digits than its factorization.

463806 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 463806 is about 681.0330388461. The cubic root of 463806 is about 77.4067417960.

The spelling of 463806 in words is "four hundred sixty-three thousand, eight hundred six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 189 378 409 567 818 1134 1227 2454 2863 3681 5726 7362 8589 11043 17178 22086 25767 33129 51534 66258 77301 154602 231903 463806