419240 has 32 divisors (see below), whose sum is σ = 967680. Its totient is φ = 163392.

The previous prime is 419231. The next prime is 419249. The reversal of 419240 is 42914.

It is an interprime number because it is at equal distance from previous prime (419231) and next prime (419249).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (419249) by changing a digit.

419240 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 7 ways as a sum of consecutive naturals, for example, 1769 + ... + 1991.

It is an arithmetic number, because the mean of its divisors is an integer number (30240).

2⁴¹⁹²⁴⁰ is an apocalyptic number.

419240 is a gapful number since it is divisible by the number (40) 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 419240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483840).

419240 is an abundant number, since it is smaller than the sum of its proper divisors (548440).

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

419240 is a wasteful number, since it uses less digits than its factorization.

419240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 419240 is about 647.4874516159. The cubic root of 419240 is about 74.8435256225.

The spelling of 419240 in words is "four hundred nineteen thousand, two hundred forty".