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463945230 = 23257419113
BaseRepresentation
bin11011101001110…
…011111000001110
31012022222212012200
4123221303320032
51422232221410
6114011542330
714332320000
oct3351637016
91168885180
10463945230
11218980a11
1210b45a9a6
1375170208
144588c370
152aae53c0
hex1ba73e0e

463945230 has 240 divisors, whose sum is σ = 1494389520. Its totient is φ = 99574272.

The previous prime is 463945201. The next prime is 463945231. The reversal of 463945230 is 32549364.

463945230 is a `hidden beast` number, since 46 + 3 + 94 + 523 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (463945231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 4105654 + ... + 4105766.

It is an arithmetic number, because the mean of its divisors is an integer number (6226623).

Almost surely, 2463945230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 463945230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (747194760).

463945230 is an abundant number, since it is smaller than the sum of its proper divisors (1030444290).

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

463945230 is a wasteful number, since it uses less digits than its factorization.

463945230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 463945230 is about 21539.3878743106. The cubic root of 463945230 is about 774.1448660198.

The spelling of 463945230 in words is "four hundred sixty-three million, nine hundred forty-five thousand, two hundred thirty".