460801 has 8 divisors (see below), whose sum is σ = 507744. Its totient is φ = 414720.

The previous prime is 460793. The next prime is 460813. The reversal of 460801 is 108064.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a 2-Lehmer number, since φ(460801) divides (460801-1)².

It is a cyclic number.

It is not a de Polignac number, because 460801 - 2³ = 460793 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (460841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1665 + ... + 1921.

It is an arithmetic number, because the mean of its divisors is an integer number (63468).

It is a Proth number, since it is equal to 225 ⋅ 2¹¹ + 1 and 225 < 2¹¹.

2⁴⁶⁰⁸⁰¹ is an apocalyptic number.

It is an amenable number.

460801 is a deficient number, since it is larger than the sum of its proper divisors (46943).

460801 is a wasteful number, since it uses less digits than its factorization.

460801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431.

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 460801 is about 678.8232465082. The cubic root of 460801 is about 77.2392066416.

Adding to 460801 its reverse (108064), we get a palindrome (568865).

The spelling of 460801 in words is "four hundred sixty thousand, eight hundred one".