464961 has 12 divisors (see below), whose sum is σ = 721392. Its totient is φ = 265608.

The previous prime is 464953. The next prime is 464963. The reversal of 464961 is 169464.

It is not a de Polignac number, because 464961 - 2³ = 464953 is a prime.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

464961 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 464961.

It is not an unprimeable number, because it can be changed into a prime (464963) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1435 + ... + 1728.

It is an arithmetic number, because the mean of its divisors is an integer number (60116).

2⁴⁶⁴⁹⁶¹ is an apocalyptic number.

It is an amenable number.

464961 is a deficient number, since it is larger than the sum of its proper divisors (256431).

464961 is a wasteful number, since it uses less digits than its factorization.

464961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3180 (or 3173 counting only the distinct ones).

The product of its digits is 5184, while the sum is 30.

The square root of 464961 is about 681.8804880622. The cubic root of 464961 is about 77.4709429745.

The spelling of 464961 in words is "four hundred sixty-four thousand, nine hundred sixty-one".