464643312 has 80 divisors (see below), whose sum is σ = 1391196672. Its totient is φ = 130878720.

The previous prime is 464643293. The next prime is 464643313. The reversal of 464643312 is 213346464.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (464643313) 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, 14118 + ... + 33594.

Almost surely, 2^464643312 is an apocalyptic number.

464643312 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 464643312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (695598336).

464643312 is an abundant number, since it is smaller than the sum of its proper divisors (926553360).

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

464643312 is a wasteful number, since it uses less digits than its factorization.

464643312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19566 (or 19560 counting only the distinct ones).

The product of its digits is 41472, while the sum is 33.

The square root of 464643312 is about 21555.5865612606. The cubic root of 464643312 is about 774.5329475858.

Adding to 464643312 its reverse (213346464), we get a palindrome (677989776).

The spelling of 464643312 in words is "four hundred sixty-four million, six hundred forty-three thousand, three hundred twelve".