419325984 has 360 divisors, whose sum is σ = 1557287424. Its totient is φ = 108345600.

The previous prime is 419325967. The next prime is 419325989. The reversal of 419325984 is 489523914.

It is not an unprimeable number, because it can be changed into a prime (419325989) 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 59 ways as a sum of consecutive naturals, for example, 2195329 + ... + 2195519.

Almost surely, 2^419325984 is an apocalyptic number.

419325984 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 419325984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (778643712).

419325984 is an abundant number, since it is smaller than the sum of its proper divisors (1137961440).

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

419325984 is a wasteful number, since it uses less digits than its factorization.

419325984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 214 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 419325984 is about 20477.4506225751. The cubic root of 419325984 is about 748.4864194869.

The spelling of 419325984 in words is "four hundred nineteen million, three hundred twenty-five thousand, nine hundred eighty-four".