419840 has 48 divisors (see below), whose sum is σ = 1031940. Its totient is φ = 163840.

The previous prime is 419831. The next prime is 419873. The reversal of 419840 is 48914.

It can be written as a sum of positive squares in 2 ways, for example, as 369664 + 50176 = 608^2 + 224^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10220 + ... + 10260.

2⁴¹⁹⁸⁴⁰ is an apocalyptic number.

419840 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 419840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515970).

419840 is an abundant number, since it is smaller than the sum of its proper divisors (612100).

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

419840 is an equidigital number, since it uses as much as digits as its factorization.

419840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 419840 is about 647.9506154021. The cubic root of 419840 is about 74.8792129851.

The spelling of 419840 in words is "four hundred nineteen thousand, eight hundred forty".