464512 has 32 divisors (see below), whose sum is σ = 979200. Its totient is φ = 218880.

The previous prime is 464483. The next prime is 464521. The reversal of 464512 is 215464.

It is a tau number, because it is divible by the number of its divisors (32).

It is a plaindrome in base 13.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2337 + ... + 2527.

It is an arithmetic number, because the mean of its divisors is an integer number (30600).

2⁴⁶⁴⁵¹² 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 464512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489600).

464512 is an abundant number, since it is smaller than the sum of its proper divisors (514688).

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

464512 is a wasteful number, since it uses less digits than its factorization.

464512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 212 counting only the distinct ones).

The product of its digits is 960, while the sum is 22.

The square root of 464512 is about 681.5511719600. The cubic root of 464512 is about 77.4459977596.

Adding to 464512 its reverse (215464), we get a palindrome (679976).

It can be divided in two parts, 4 and 64512, that added together give a square (64516 = 254²).

The spelling of 464512 in words is "four hundred sixty-four thousand, five hundred twelve".