419408 has 20 divisors (see below), whose sum is σ = 886848. Its totient is φ = 190560.

The previous prime is 419401. The next prime is 419417. The reversal of 419408 is 804914.

It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors.

It is a nialpdrome in base 16.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 419408.

It is not an unprimeable number, because it can be changed into a prime (419401) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1016 + ... + 1367.

2⁴¹⁹⁴⁰⁸ is an apocalyptic number.

It is an amenable number.

419408 is an abundant number, since it is smaller than the sum of its proper divisors (467440).

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

419408 is a wasteful number, since it uses less digits than its factorization.

419408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2402 (or 2396 counting only the distinct ones).

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

The square root of 419408 is about 647.6171708656. The cubic root of 419408 is about 74.8535215144.

It can be divided in two parts, 41 and 9408, that added together give a palindrome (9449).

The spelling of 419408 in words is "four hundred nineteen thousand, four hundred eight".