419608 has 32 divisors (see below), whose sum is σ = 921600. Its totient is φ = 175392.

The previous prime is 419603. The next prime is 419609. The reversal of 419608 is 806914.

419608 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

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 (419603) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3241 + ... + 3367.

It is an arithmetic number, because the mean of its divisors is an integer number (28800).

2⁴¹⁹⁶⁰⁸ 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 419608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460800).

419608 is an abundant number, since it is smaller than the sum of its proper divisors (501992).

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

419608 is a wasteful number, since it uses less digits than its factorization.

419608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 419608 is about 647.7715646738. The cubic root of 419608 is about 74.8654179058.

The spelling of 419608 in words is "four hundred nineteen thousand, six hundred eight".