464801 has 2 divisors, whose sum is σ = 464802. Its totient is φ = 464800.

The previous prime is 464777. The next prime is 464803. The reversal of 464801 is 108464.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 462400 + 2401 = 680^2 + 49^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-464801 is a prime.

Together with 464803, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (464803) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 232400 + 232401.

It is an arithmetic number, because the mean of its divisors is an integer number (232401).

2⁴⁶⁴⁸⁰¹ is an apocalyptic number.

It is an amenable number.

464801 is a deficient number, since it is larger than the sum of its proper divisors (1).

464801 is an equidigital number, since it uses as much as digits as its factorization.

464801 is an evil number, because the sum of its binary digits is even.

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

The square root of 464801 is about 681.7631553553. The cubic root of 464801 is about 77.4620556535.

The spelling of 464801 in words is "four hundred sixty-four thousand, eight hundred one".