464820 has 48 divisors (see below), whose sum is σ = 1333248. Its totient is φ = 120960.

The previous prime is 464819. The next prime is 464843. The reversal of 464820 is 28464.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 464820.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3597 + ... + 3723.

It is an arithmetic number, because the mean of its divisors is an integer number (27776).

2⁴⁶⁴⁸²⁰ 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 464820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (666624).

464820 is an abundant number, since it is smaller than the sum of its proper divisors (868428).

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

464820 is a wasteful number, since it uses less digits than its factorization.

464820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 464820 is about 681.7770896708. Note that the first 3 decimals coincide. The cubic root of 464820 is about 77.4631111296.

The spelling of 464820 in words is "four hundred sixty-four thousand, eight hundred twenty".