464384 has 20 divisors (see below), whose sum is σ = 928884. Its totient is φ = 231936.

The previous prime is 464383. The next prime is 464413. The reversal of 464384 is 483464.

464384 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (464381) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 59 + ... + 965.

2⁴⁶⁴³⁸⁴ 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 464384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464442).

464384 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

464384 is an frugal number, since it uses more digits than its factorization.

464384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 925 (or 909 counting only the distinct ones).

The product of its digits is 9216, while the sum is 29.

The square root of 464384 is about 681.4572620495. The cubic root of 464384 is about 77.4388834846.

It can be divided in two parts, 464 and 384, that added together give a palindrome (848).

The spelling of 464384 in words is "four hundred sixty-four thousand, three hundred eighty-four".