464304 has 40 divisors (see below), whose sum is σ = 1272240. Its totient is φ = 145408.

The previous prime is 464291. The next prime is 464309. The reversal of 464304 is 403464.

It is a plaindrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (464309) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 532 + ... + 1100.

It is an arithmetic number, because the mean of its divisors is an integer number (31806).

2⁴⁶⁴³⁰⁴ 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 464304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636120).

464304 is an abundant number, since it is smaller than the sum of its proper divisors (807936).

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

464304 is a wasteful number, since it uses less digits than its factorization.

464304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 597 (or 591 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 464304 is about 681.3985617830. The cubic root of 464304 is about 77.4344363988.

Adding to 464304 its reverse (403464), we get a palindrome (867768).

The spelling of 464304 in words is "four hundred sixty-four thousand, three hundred four".