419284944 has 120 divisors (see below), whose sum is σ = 1303428480. Its totient is φ = 128988288.

The previous prime is 419284937. The next prime is 419284969. The reversal of 419284944 is 449482914.

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 419284944.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70137 + ... + 75879.

It is an arithmetic number, because the mean of its divisors is an integer number (10861904).

Almost surely, 2^419284944 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 419284944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (651714240).

419284944 is an abundant number, since it is smaller than the sum of its proper divisors (884143536).

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

419284944 is a wasteful number, since it uses less digits than its factorization.

419284944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5786 (or 5761 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 419284944 is about 20476.4485201902. The cubic root of 419284944 is about 748.4620002315.

The spelling of 419284944 in words is "four hundred nineteen million, two hundred eighty-four thousand, nine hundred forty-four".