463143312 has 80 divisors (see below), whose sum is σ = 1335956160. Its totient is φ = 153619200.

The previous prime is 463143301. The next prime is 463143313. The reversal of 463143312 is 213341364.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (463143313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88612 + ... + 93692.

It is an arithmetic number, because the mean of its divisors is an integer number (16699452).

Almost surely, 2^463143312 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 463143312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (667978080).

463143312 is an abundant number, since it is smaller than the sum of its proper divisors (872812848).

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

463143312 is a wasteful number, since it uses less digits than its factorization.

463143312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5309 (or 5297 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

The square root of 463143312 is about 21520.7646704293. The cubic root of 463143312 is about 773.6985786235.

Adding to 463143312 its reverse (213341364), we get a palindrome (676484676).

The spelling of 463143312 in words is "four hundred sixty-three million, one hundred forty-three thousand, three hundred twelve".