419189904 has 400 divisors, whose sum is σ = 1512403200. Its totient is φ = 111767040.

The previous prime is 419189887. The next prime is 419189933. The reversal of 419189904 is 409981914.

It is a self number, because there is not a number n which added to its sum of digits gives 419189904.

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 79 ways as a sum of consecutive naturals, for example, 10224124 + ... + 10224164.

It is an arithmetic number, because the mean of its divisors is an integer number (3781008).

Almost surely, 2^419189904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 419189904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (756201600).

419189904 is an abundant number, since it is smaller than the sum of its proper divisors (1093213296).

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

419189904 is a wasteful number, since it uses less digits than its factorization.

419189904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The square root of 419189904 is about 20474.1276737252. The cubic root of 419189904 is about 748.4054442585.

The spelling of 419189904 in words is "four hundred nineteen million, one hundred eighty-nine thousand, nine hundred four".