419882130 has 128 divisors (see below), whose sum is σ = 1153405440. Its totient is φ = 110014848.

The previous prime is 419882129. The next prime is 419882209. The reversal of 419882130 is 31288914.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1596379 + ... + 1596641.

It is an arithmetic number, because the mean of its divisors is an integer number (9010980).

Almost surely, 2^419882130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 419882130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576702720).

419882130 is an abundant number, since it is smaller than the sum of its proper divisors (733523310).

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

419882130 is an equidigital number, since it uses as much as digits as its factorization.

419882130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 419882130 is about 20491.0255965874. The cubic root of 419882130 is about 748.8171755491.

The spelling of 419882130 in words is "four hundred nineteen million, eight hundred eighty-two thousand, one hundred thirty".