419976 has 48 divisors (see below), whose sum is σ = 1201200. Its totient is φ = 132192.

The previous prime is 419959. The next prime is 419999. The reversal of 419976 is 679914.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a plaindrome in base 16.

It is a zygodrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 419976.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1215 + ... + 1521.

It is an arithmetic number, because the mean of its divisors is an integer number (25025).

2⁴¹⁹⁹⁷⁶ 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 419976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (600600).

419976 is an abundant number, since it is smaller than the sum of its proper divisors (781224).

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

419976 is a wasteful number, since it uses less digits than its factorization.

419976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 331 counting only the distinct ones).

The product of its digits is 13608, while the sum is 36.

The square root of 419976 is about 648.0555531743. The cubic root of 419976 is about 74.8872973931.

The spelling of 419976 in words is "four hundred nineteen thousand, nine hundred seventy-six".