419420 has 24 divisors (see below), whose sum is σ = 896784. Its totient is φ = 164736.

The previous prime is 419417. The next prime is 419423. The reversal of 419420 is 24914.

It is an interprime number because it is at equal distance from previous prime (419417) and next prime (419423).

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

It is a junction number, because it is equal to n+sod(n) for n = 419392 and 419401.

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 419420.

It is not an unprimeable number, because it can be changed into a prime (419423) 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, 1184 + ... + 1496.

It is an arithmetic number, because the mean of its divisors is an integer number (37366).

2⁴¹⁹⁴²⁰ is an apocalyptic number.

It is an amenable number.

419420 is an abundant number, since it is smaller than the sum of its proper divisors (477364).

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

419420 is a wasteful number, since it uses less digits than its factorization.

419420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 387 counting only the distinct ones).

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

The square root of 419420 is about 647.6264355321. The cubic root of 419420 is about 74.8542354045.

The spelling of 419420 in words is "four hundred nineteen thousand, four hundred twenty".