463215312 has 120 divisors (see below), whose sum is σ = 1491499776. Its totient is φ = 131459328.

The previous prime is 463215257. The next prime is 463215343. The reversal of 463215312 is 213512364.

463215312 is a `hidden beast` number, since 4 + 632 + 15 + 3 + 12 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 156793 + ... + 159719.

Almost surely, 2^463215312 is an apocalyptic number.

463215312 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 463215312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (745749888).

463215312 is an abundant number, since it is smaller than the sum of its proper divisors (1028284464).

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

463215312 is a wasteful number, since it uses less digits than its factorization.

463215312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3105 (or 3096 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 463215312 is about 21522.4374084349. The cubic root of 463215312 is about 773.7386694621.

Adding to 463215312 its reverse (213512364), we get a palindrome (676727676).

The spelling of 463215312 in words is "four hundred sixty-three million, two hundred fifteen thousand, three hundred twelve".