419253 has 16 divisors (see below), whose sum is σ = 595200. Its totient is φ = 262080.

The previous prime is 419249. The next prime is 419261. The reversal of 419253 is 352914.

It is not a de Polignac number, because 419253 - 2² = 419249 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (419053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5268 + ... + 5346.

It is an arithmetic number, because the mean of its divisors is an integer number (37200).

2⁴¹⁹²⁵³ is an apocalyptic number.

It is an amenable number.

419253 is a deficient number, since it is larger than the sum of its proper divisors (175947).

419253 is a wasteful number, since it uses less digits than its factorization.

419253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172.

The product of its digits is 1080, while the sum is 24.

The square root of 419253 is about 647.4974903426. The cubic root of 419253 is about 74.8442992094.

The spelling of 419253 in words is "four hundred nineteen thousand, two hundred fifty-three".