419953 has 2 divisors, whose sum is σ = 419954. Its totient is φ = 419952.

The previous prime is 419933. The next prime is 419959. The reversal of 419953 is 359914.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 419904 + 49 = 648^2 + 7^2 .

It is a cyclic number.

It is not a de Polignac number, because 419953 - 2⁵ = 419921 is a prime.

It is an Ulam number.

It is not a weakly prime, because it can be changed into another prime (419959) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 209976 + 209977.

It is an arithmetic number, because the mean of its divisors is an integer number (209977).

2⁴¹⁹⁹⁵³ is an apocalyptic number.

It is an amenable number.

419953 is a deficient number, since it is larger than the sum of its proper divisors (1).

419953 is an equidigital number, since it uses as much as digits as its factorization.

419953 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4860, while the sum is 31.

The square root of 419953 is about 648.0378075390. The cubic root of 419953 is about 74.8859302997.

The spelling of 419953 in words is "four hundred nineteen thousand, nine hundred fifty-three".