419713980 has 96 divisors (see below), whose sum is σ = 1346042880. Its totient is φ = 95723520.

The previous prime is 419713963. The next prime is 419713993. The reversal of 419713980 is 89317914.

It is a happy number.

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

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 268441 + ... + 269999.

It is an arithmetic number, because the mean of its divisors is an integer number (14021280).

Almost surely, 2^419713980 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 419713980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (673021440).

419713980 is an abundant number, since it is smaller than the sum of its proper divisors (926328900).

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

419713980 is a wasteful number, since it uses less digits than its factorization.

419713980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2219 (or 2217 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 42.

The square root of 419713980 is about 20486.9221700088. The cubic root of 419713980 is about 748.7172027146.

The spelling of 419713980 in words is "four hundred nineteen million, seven hundred thirteen thousand, nine hundred eighty".