419749344 has 96 divisors (see below), whose sum is σ = 1399184640. Its totient is φ = 119926656.

The previous prime is 419749321. The next prime is 419749367. The reversal of 419749344 is 443947914.

It is an interprime number because it is at equal distance from previous prime (419749321) and next prime (419749367).

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a self number, because there is not a number n which added to its sum of digits gives 419749344.

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 15 ways as a sum of consecutive naturals, for example, 28654 + ... + 40749.

It is an arithmetic number, because the mean of its divisors is an integer number (14574840).

Almost surely, 2^419749344 is an apocalyptic number.

It is an amenable number.

419749344 is an abundant number, since it is smaller than the sum of its proper divisors (979435296).

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

419749344 is a wasteful number, since it uses less digits than its factorization.

419749344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69429 (or 69415 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 419749344 is about 20487.7852390150. The cubic root of 419749344 is about 748.7382304405.

The spelling of 419749344 in words is "four hundred nineteen million, seven hundred forty-nine thousand, three hundred forty-four".