419921424 has 60 divisors (see below), whose sum is σ = 1265602156. Its totient is φ = 129206016.

The previous prime is 419921401. The next prime is 419921441. The reversal of 419921424 is 424129914.

419921424 is a `hidden beast` number, since 419 + 9 + 214 + 24 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 234090000 + 185831424 = 15300^2 + 13632^2 .

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

It is a nude number because it is divisible by every one of its digits.

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 11 ways as a sum of consecutive naturals, for example, 110287 + ... + 114030.

Almost surely, 2^419921424 is an apocalyptic number.

It is an amenable number.

419921424 is an abundant number, since it is smaller than the sum of its proper divisors (845680732).

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

419921424 is a wasteful number, since it uses less digits than its factorization.

419921424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224344 (or 224335 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 419921424 is about 20491.9843841440. The cubic root of 419921424 is about 748.8405337745.

The spelling of 419921424 in words is "four hundred nineteen million, nine hundred twenty-one thousand, four hundred twenty-four".