464001 has 4 divisors (see below), whose sum is σ = 618672. Its totient is φ = 309332.

The previous prime is 463993. The next prime is 464003. The reversal of 464001 is 100464.

464001 = T₂₁₈ + T₂₁₉ + ... + T₂₃₅.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 464001 - 2³ = 463993 is a prime.

It is a D-number.

464001 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (464003) 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 3 ways as a sum of consecutive naturals, for example, 77331 + ... + 77336.

It is an arithmetic number, because the mean of its divisors is an integer number (154668).

2⁴⁶⁴⁰⁰¹ is an apocalyptic number.

It is an amenable number.

464001 is a deficient number, since it is larger than the sum of its proper divisors (154671).

464001 is a wasteful number, since it uses less digits than its factorization.

464001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154670.

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 464001 is about 681.1761886619. The cubic root of 464001 is about 77.4175884286.

Adding to 464001 its reverse (100464), we get a palindrome (564465).

The spelling of 464001 in words is "four hundred sixty-four thousand, one".