419480442 has 48 divisors (see below), whose sum is σ = 972972000. Its totient is φ = 130216032.

The previous prime is 419480431. The next prime is 419480473. The reversal of 419480442 is 244084914.

It is a junction number, because it is equal to n+sod(n) for n = 419480397 and 419480406.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9784 + ... + 30572.

It is an arithmetic number, because the mean of its divisors is an integer number (20270250).

Almost surely, 2^419480442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 419480442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486486000).

419480442 is an abundant number, since it is smaller than the sum of its proper divisors (553491558).

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

419480442 is a wasteful number, since it uses less digits than its factorization.

419480442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20875 (or 20872 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 419480442 is about 20481.2216920769. The cubic root of 419480442 is about 748.5783094307.

The spelling of 419480442 in words is "four hundred nineteen million, four hundred eighty thousand, four hundred forty-two".