419144 has 24 divisors (see below), whose sum is σ = 865830. Its totient is φ = 190080.

The previous prime is 419141. The next prime is 419147. The reversal of 419144 is 441914.

It is an interprime number because it is at equal distance from previous prime (419141) and next prime (419147).

It can be written as a sum of positive squares in only one way, i.e., 407044 + 12100 = 638^2 + 110^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (419141) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 752 + ... + 1184.

2⁴¹⁹¹⁴⁴ is an apocalyptic number.

419144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 419144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432915).

419144 is an abundant number, since it is smaller than the sum of its proper divisors (446686).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

419144 is a wasteful number, since it uses less digits than its factorization.

419144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461 (or 446 counting only the distinct ones).

The product of its digits is 576, while the sum is 23.

The square root of 419144 is about 647.4133146607. The cubic root of 419144 is about 74.8378124852.

The spelling of 419144 in words is "four hundred nineteen thousand, one hundred forty-four".