463828365 has 144 divisors (see below), whose sum is σ = 1099478016. Its totient is φ = 177811200.

The previous prime is 463828331. The next prime is 463828369. The reversal of 463828365 is 563828364.

It is a happy number.

463828365 is a `hidden beast` number, since 4 + 638 + 2 + 8 + 3 + 6 + 5 = 666.

It is not a de Polignac number, because 463828365 - 2⁷ = 463828237 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 463828365.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (463828369) 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 143 ways as a sum of consecutive naturals, for example, 314580 + ... + 316050.

It is an arithmetic number, because the mean of its divisors is an integer number (7635264).

Almost surely, 2^463828365 is an apocalyptic number.

463828365 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

463828365 is an abundant number, since it is smaller than the sum of its proper divisors (635649651).

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

463828365 is a wasteful number, since it uses less digits than its factorization.

463828365 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1520 (or 1510 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The square root of 463828365 is about 21536.6748826275. The cubic root of 463828365 is about 774.0798597567.

Subtracting 463828365 from its reverse (563828364), we obtain a palindrome (99999999).

It can be divided in two parts, 463 and 828365, that added together give a palindrome (828828).

The spelling of 463828365 in words is "four hundred sixty-three million, eight hundred twenty-eight thousand, three hundred sixty-five".