419819634 has 48 divisors (see below), whose sum is σ = 988310232. Its totient is φ = 128024064.

The previous prime is 419819627. The next prime is 419819669. The reversal of 419819634 is 436918914.

419819634 is a `hidden beast` number, since 4 + 1 + 9 + 8 + 1 + 9 + 634 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 312759225 + 107060409 = 17685^2 + 10347^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 419819634.

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 23 ways as a sum of consecutive naturals, for example, 18504 + ... + 34380.

Almost surely, 2^419819634 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 419819634, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494155116).

419819634 is an abundant number, since it is smaller than the sum of its proper divisors (568490598).

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

419819634 is a wasteful number, since it uses less digits than its factorization.

419819634 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16011 (or 16008 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 419819634 is about 20489.5005795651. The cubic root of 419819634 is about 748.7800219474.

It can be divided in two parts, 41981 and 9634, that added together give a palindrome (51615).

The spelling of 419819634 in words is "four hundred nineteen million, eight hundred nineteen thousand, six hundred thirty-four".