464841 has 24 divisors (see below), whose sum is σ = 753480. Its totient is φ = 274176.

The previous prime is 464819. The next prime is 464843. The reversal of 464841 is 148464.

464841 = 121² + 122² + ... + 146².

It can be written as a sum of positive squares in 4 ways, for example, as 29241 + 435600 = 171^2 + 660^2 .

It is not a de Polignac number, because 464841 - 2⁵ = 464809 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (464843) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 3325 + ... + 3461.

It is an arithmetic number, because the mean of its divisors is an integer number (31395).

2⁴⁶⁴⁸⁴¹ is an apocalyptic number.

It is an amenable number.

464841 is a deficient number, since it is larger than the sum of its proper divisors (288639).

464841 is a wasteful number, since it uses less digits than its factorization.

464841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 182 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 464841 is about 681.7924904251. The cubic root of 464841 is about 77.4642776750.

The spelling of 464841 in words is "four hundred sixty-four thousand, eight hundred forty-one".