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463463000 = 235371113463
BaseRepresentation
bin11011100111111…
…110001001011000
31012022002100201022
4123213332021120
51422121304000
6113553342012
714325241040
oct3347761130
91168070638
10463463000
11218681680
1210b267908
1375031880
14457a4720
152aa4c585
hex1b9fe258

463463000 has 256 divisors, whose sum is σ = 1459261440. Its totient is φ = 133056000.

The previous prime is 463462973. The next prime is 463463009. The reversal of 463463000 is 364364.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (463463009) 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 63 ways as a sum of consecutive naturals, for example, 1000769 + ... + 1001231.

It is an arithmetic number, because the mean of its divisors is an integer number (5700240).

Almost surely, 2463463000 is an apocalyptic number.

463463000 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 463463000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (729630720).

463463000 is an abundant number, since it is smaller than the sum of its proper divisors (995798440).

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

463463000 is a wasteful number, since it uses less digits than its factorization.

463463000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

The square root of 463463000 is about 21528.1908204103. The cubic root of 463463000 is about 773.8765546817.

The spelling of 463463000 in words is "four hundred sixty-three million, four hundred sixty-three thousand".