419885424 has 160 divisors (see below), whose sum is σ = 1437527040. Its totient is φ = 114732288.

The previous prime is 419885407. The next prime is 419885437. The reversal of 419885424 is 424588914.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 419885424.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66534 + ... + 72570.

It is an arithmetic number, because the mean of its divisors is an integer number (8984544).

Almost surely, 2^419885424 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 419885424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718763520).

419885424 is an abundant number, since it is smaller than the sum of its proper divisors (1017641616).

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

419885424 is a wasteful number, since it uses less digits than its factorization.

419885424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6084 (or 6072 counting only the distinct ones).

The product of its digits is 368640, while the sum is 45.

The square root of 419885424 is about 20491.1059730801. The cubic root of 419885424 is about 748.8191337156.

The spelling of 419885424 in words is "four hundred nineteen million, eight hundred eighty-five thousand, four hundred twenty-four".