468401 has 8 divisors (see below), whose sum is σ = 505440. Its totient is φ = 432448.

The previous prime is 468389. The next prime is 468421. The reversal of 468401 is 104864.

It is a happy number.

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

It is a cyclic number.

It is not a de Polignac number, because 468401 - 2¹⁴ = 452017 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (468421) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 770 + ... + 1236.

It is an arithmetic number, because the mean of its divisors is an integer number (63180).

2⁴⁶⁸⁴⁰¹ is an apocalyptic number.

It is an amenable number.

468401 is a deficient number, since it is larger than the sum of its proper divisors (37039).

468401 is a wasteful number, since it uses less digits than its factorization.

468401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 543.

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 468401 is about 684.3982758599. The cubic root of 468401 is about 77.6615292109.

The spelling of 468401 in words is "four hundred sixty-eight thousand, four hundred one".