419749218 has 96 divisors (see below), whose sum is σ = 1090881792. Its totient is φ = 114048000.

The previous prime is 419749217. The next prime is 419749223. The reversal of 419749218 is 812947914.

It is a happy number.

It is a super-2 number, since 2×419749218² = 352378812023223048, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (419749217) 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 47 ways as a sum of consecutive naturals, for example, 698118 + ... + 698718.

It is an arithmetic number, because the mean of its divisors is an integer number (11363352).

Almost surely, 2^419749218 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 419749218, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545440896).

419749218 is an abundant number, since it is smaller than the sum of its proper divisors (671132574).

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

419749218 is a wasteful number, since it uses less digits than its factorization.

419749218 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 880 (or 877 counting only the distinct ones).

The product of its digits is 145152, while the sum is 45.

The square root of 419749218 is about 20487.7821640118. The cubic root of 419749218 is about 748.7381555220.

The spelling of 419749218 in words is "four hundred nineteen million, seven hundred forty-nine thousand, two hundred eighteen".