419225 has 12 divisors (see below), whose sum is σ = 533820. Its totient is φ = 326400.

The previous prime is 419201. The next prime is 419231. The reversal of 419225 is 522914.

419225 is nontrivially palindromic in base 4.

It can be written as a sum of positive squares in 6 ways, for example, as 13456 + 405769 = 116^2 + 637^2 .

It is not a de Polignac number, because 419225 - 2⁶ = 419161 is a prime.

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 419225.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 821 + ... + 1229.

It is an arithmetic number, because the mean of its divisors is an integer number (44485).

2⁴¹⁹²²⁵ is an apocalyptic number.

It is an amenable number.

419225 is a deficient number, since it is larger than the sum of its proper divisors (114595).

419225 is a wasteful number, since it uses less digits than its factorization.

419225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460 (or 455 counting only the distinct ones).

The product of its digits is 720, while the sum is 23.

The square root of 419225 is about 647.4758682762. The cubic root of 419225 is about 74.8426330023.

It can be divided in two parts, 41 and 9225, that multiplied together give a square (378225 = 615²).

The spelling of 419225 in words is "four hundred nineteen thousand, two hundred twenty-five".