463136652 has 108 divisors (see below), whose sum is σ = 1320745608. Its totient is φ = 135705600.

The previous prime is 463136599. The next prime is 463136657. The reversal of 463136652 is 256631364.

463136652 is a `hidden beast` number, since 463 + 136 + 65 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (463136657) 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 35 ways as a sum of consecutive naturals, for example, 379948 + ... + 381164.

It is an arithmetic number, because the mean of its divisors is an integer number (12229126).

Almost surely, 2^463136652 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 463136652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660372804).

463136652 is an abundant number, since it is smaller than the sum of its proper divisors (857608956).

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

463136652 is a wasteful number, since it uses less digits than its factorization.

463136652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1300 (or 1264 counting only the distinct ones).

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

The square root of 463136652 is about 21520.6099355943. The cubic root of 463136652 is about 773.6948700110.

The spelling of 463136652 in words is "four hundred sixty-three million, one hundred thirty-six thousand, six hundred fifty-two".