463205052 has 72 divisors (see below), whose sum is σ = 1282554000. Its totient is φ = 140302848.

The previous prime is 463205051. The next prime is 463205053. The reversal of 463205052 is 250502364.

It is an interprime number because it is at equal distance from previous prime (463205051) and next prime (463205053).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (463205051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4699 + ... + 30797.

It is an arithmetic number, because the mean of its divisors is an integer number (17813250).

Almost surely, 2^463205052 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 463205052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (641277000).

463205052 is an abundant number, since it is smaller than the sum of its proper divisors (819348948).

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

463205052 is a wasteful number, since it uses less digits than its factorization.

463205052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26155 (or 26150 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 463205052 is about 21522.1990512122. The cubic root of 463205052 is about 773.7329567714.

The spelling of 463205052 in words is "four hundred sixty-three million, two hundred five thousand, fifty-two".