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463814425 = 52373891289
BaseRepresentation
bin11011101001010…
…011111100011001
31012022202012210001
4123221103330121
51422214030200
6114005053001
714331233434
oct3351237431
91168665701
10463814425
112188a1708
1210b3b7161
1375125809
144585681b
152aabb76a
hex1ba53f19

463814425 has 24 divisors (see below), whose sum is σ = 592651800. Its totient is φ = 359815680.

The previous prime is 463814419. The next prime is 463814431. The reversal of 463814425 is 524418364.

463814425 = 152282 + 152292.

It is an interprime number because it is at equal distance from previous prime (463814419) and next prime (463814431).

It can be written as a sum of positive squares in 12 ways, for example, as 34951744 + 428862681 = 5912^2 + 20709^2 .

It is not a de Polignac number, because 463814425 - 225 = 430259993 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 359181 + ... + 360469.

It is an arithmetic number, because the mean of its divisors is an integer number (24693825).

Almost surely, 2463814425 is an apocalyptic number.

463814425 is the 15229-th centered square number.

It is an amenable number.

463814425 is a deficient number, since it is larger than the sum of its proper divisors (128837375).

463814425 is a wasteful number, since it uses less digits than its factorization.

463814425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1725 (or 1720 counting only the distinct ones).

The product of its digits is 92160, while the sum is 37.

The square root of 463814425 is about 21536.3512462070. The cubic root of 463814425 is about 774.0721048900.

The spelling of 463814425 in words is "four hundred sixty-three million, eight hundred fourteen thousand, four hundred twenty-five".

Divisors: 1 5 25 37 185 389 925 1289 1945 6445 9725 14393 32225 47693 71965 238465 359825 501421 1192325 2507105 12535525 18552577 92762885 463814425