464257 has 2 divisors, whose sum is σ = 464258. Its totient is φ = 464256.

The previous prime is 464251. The next prime is 464263. The reversal of 464257 is 752464.

It is a balanced prime because it is at equal distance from previous prime (464251) and next prime (464263).

It can be written as a sum of positive squares in only one way, i.e., 341056 + 123201 = 584^2 + 351^2 .

It is a cyclic number.

It is not a de Polignac number, because 464257 - 2⁷ = 464129 is a prime.

It is a Chen prime.

464257 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (464251) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 232128 + 232129.

It is an arithmetic number, because the mean of its divisors is an integer number (232129).

2⁴⁶⁴²⁵⁷ is an apocalyptic number.

It is an amenable number.

464257 is a deficient number, since it is larger than the sum of its proper divisors (1).

464257 is an equidigital number, since it uses as much as digits as its factorization.

464257 is an evil number, because the sum of its binary digits is even.

The product of its digits is 6720, while the sum is 28.

The square root of 464257 is about 681.3640730182. The cubic root of 464257 is about 77.4318234977.

It can be divided in two parts, 4 and 64257, that added together give a triangular number (64261 = T₃₅₈).

The spelling of 464257 in words is "four hundred sixty-four thousand, two hundred fifty-seven".