46401 has 4 divisors (see below), whose sum is σ = 61872. Its totient is φ = 30932.

The previous prime is 46399. The next prime is 46411. The reversal of 46401 is 10464.

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 46401 - 2¹ = 46399 is a prime.

It is a D-number.

46401 is a lucky number.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (46411) 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, 7731 + ... + 7736.

It is an arithmetic number, because the mean of its divisors is an integer number (15468).

2⁴⁶⁴⁰¹ is an apocalyptic number.

It is an amenable number.

46401 is a deficient number, since it is larger than the sum of its proper divisors (15471).

46401 is a wasteful number, since it uses less digits than its factorization.

46401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15470.

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

The square root of 46401 is about 215.4089134646. The cubic root of 46401 is about 35.9342937278.

Adding to 46401 its reverse (10464), we get a palindrome (56865).

Subtracting from 46401 its reverse (10464), we obtain a cube (35937 = 33³).

The spelling of 46401 in words is "forty-six thousand, four hundred one".