419924393 has 16 divisors (see below), whose sum is σ = 484072320. Its totient is φ = 356832000.

The previous prime is 419924371. The next prime is 419924411. The reversal of 419924393 is 393429914.

It is not a de Polignac number, because 419924393 - 2¹² = 419920297 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (419924303) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 591923 + ... + 592631.

It is an arithmetic number, because the mean of its divisors is an integer number (30254520).

Almost surely, 2^419924393 is an apocalyptic number.

It is an amenable number.

419924393 is a deficient number, since it is larger than the sum of its proper divisors (64147927).

419924393 is a wasteful number, since it uses less digits than its factorization.

419924393 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1328.

The product of its digits is 209952, while the sum is 44.

The square root of 419924393 is about 20492.0568269757. The cubic root of 419924393 is about 748.8422986303.

The spelling of 419924393 in words is "four hundred nineteen million, nine hundred twenty-four thousand, three hundred ninety-three".