419384490 has 128 divisors (see below), whose sum is σ = 1197600768. Its totient is φ = 91998720.

The previous prime is 419384477. The next prime is 419384491. The reversal of 419384490 is 94483914.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (419384491) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 576507 + ... + 577233.

It is an arithmetic number, because the mean of its divisors is an integer number (9356256).

Almost surely, 2^419384490 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 419384490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (598800384).

419384490 is an abundant number, since it is smaller than the sum of its proper divisors (778216278).

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

419384490 is a wasteful number, since it uses less digits than its factorization.

419384490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 852.

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 419384490 is about 20478.8791197175. The cubic root of 419384490 is about 748.5212284514.

The spelling of 419384490 in words is "four hundred nineteen million, three hundred eighty-four thousand, four hundred ninety".