419440 has 60 divisors (see below), whose sum is σ = 1145016. Its totient is φ = 142464.

The previous prime is 419429. The next prime is 419443. The reversal of 419440 is 44914.

It is a happy number.

419440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (419443) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3867 + ... + 3973.

2⁴¹⁹⁴⁴⁰ is an apocalyptic number.

419440 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 419440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572508).

419440 is an abundant number, since it is smaller than the sum of its proper divisors (725576).

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

419440 is a wasteful number, since it uses less digits than its factorization.

419440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 419440 is about 647.6418763483. The cubic root of 419440 is about 74.8554251911.

The spelling of 419440 in words is "four hundred nineteen thousand, four hundred forty".