463152512 has 64 divisors (see below), whose sum is σ = 978241200. Its totient is φ = 217810944.

The previous prime is 463152511. The next prime is 463152517. The reversal of 463152512 is 215251364.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (463152511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 381218 + ... + 382430.

Almost surely, 2^463152512 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 463152512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489120600).

463152512 is an abundant number, since it is smaller than the sum of its proper divisors (515088688).

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

463152512 is a wasteful number, since it uses less digits than its factorization.

463152512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1403 (or 1391 counting only the distinct ones).

The product of its digits is 7200, while the sum is 29.

The square root of 463152512 is about 21520.9784164196. The cubic root of 463152512 is about 773.7037015733.

The spelling of 463152512 in words is "four hundred sixty-three million, one hundred fifty-two thousand, five hundred twelve".