419340 has 48 divisors (see below), whose sum is σ = 1219680. Its totient is φ = 107520.

The previous prime is 419329. The next prime is 419351. The reversal of 419340 is 43914.

It is an interprime number because it is at equal distance from previous prime (419329) and next prime (419351).

It is a zygodrome in base 2.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 419340.

It is an unprimeable number.

419340 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1620 + ... + 1860.

It is an arithmetic number, because the mean of its divisors is an integer number (25410).

2⁴¹⁹³⁴⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 419340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609840).

419340 is an abundant number, since it is smaller than the sum of its proper divisors (800340).

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

419340 is a wasteful number, since it uses less digits than its factorization.

419340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 419340 is about 647.5646685853. The cubic root of 419340 is about 74.8494758797.

The spelling of 419340 in words is "four hundred nineteen thousand, three hundred forty".