406401257 has 2 divisors, whose sum is σ = 406401258. Its totient is φ = 406401256.

The previous prime is 406401253. The next prime is 406401271. The reversal of 406401257 is 752104604.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 292957456 + 113443801 = 17116^2 + 10651^2 .

It is a cyclic number.

It is not a de Polignac number, because 406401257 - 2² = 406401253 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (406401253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 203200628 + 203200629.

It is an arithmetic number, because the mean of its divisors is an integer number (203200629).

Almost surely, 2^406401257 is an apocalyptic number.

It is an amenable number.

406401257 is a deficient number, since it is larger than the sum of its proper divisors (1).

406401257 is an equidigital number, since it uses as much as digits as its factorization.

406401257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6720, while the sum is 29.

The square root of 406401257 is about 20159.3962459197. The cubic root of 406401257 is about 740.7159232899.

The spelling of 406401257 in words is "four hundred six million, four hundred one thousand, two hundred fifty-seven".