464121 has 24 divisors (see below), whose sum is σ = 786240. Its totient is φ = 258336.

The previous prime is 464119. The next prime is 464129. The reversal of 464121 is 121464.

464121 is a `hidden beast` number, since 4 + 641 + 21 = 666.

It is not a de Polignac number, because 464121 - 2¹ = 464119 is a prime.

It is a plaindrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 464094 and 464103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (464129) 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, 3270 + ... + 3408.

It is an arithmetic number, because the mean of its divisors is an integer number (32760).

2⁴⁶⁴¹²¹ is an apocalyptic number.

It is an amenable number.

464121 is a deficient number, since it is larger than the sum of its proper divisors (322119).

464121 is a wasteful number, since it uses less digits than its factorization.

464121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 202 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 464121 is about 681.2642659057. The cubic root of 464121 is about 77.4242617690.

Adding to 464121 its reverse (121464), we get a palindrome (585585).

It can be divided in two parts, 4641 and 21, that multiplied together give a triangular number (97461 = T₄₄₁).

The spelling of 464121 in words is "four hundred sixty-four thousand, one hundred twenty-one".