464500 has 24 divisors (see below), whose sum is σ = 1015560. Its totient is φ = 185600.

The previous prime is 464483. The next prime is 464521. The reversal of 464500 is 5464.

It can be written as a sum of positive squares in 4 ways, for example, as 121104 + 343396 = 348^2 + 586^2 .

It is a plaindrome in base 13.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36 + ... + 964.

It is an arithmetic number, because the mean of its divisors is an integer number (42315).

2⁴⁶⁴⁵⁰⁰ 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 464500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507780).

464500 is an abundant number, since it is smaller than the sum of its proper divisors (551060).

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

464500 is a wasteful number, since it uses less digits than its factorization.

464500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 948 (or 936 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 464500 is about 681.5423684555. The cubic root of 464500 is about 77.4453308519.

Adding to 464500 its reverse (5464), we get a palindrome (469964).

The spelling of 464500 in words is "four hundred sixty-four thousand, five hundred".