419973984 has 192 divisors, whose sum is σ = 1316710080. Its totient is φ = 131383296.

The previous prime is 419973979. The next prime is 419973989. The reversal of 419973984 is 489379914.

It is an interprime number because it is at equal distance from previous prime (419973979) and next prime (419973989).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 419973984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (419973989) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1189552 + ... + 1189904.

It is an arithmetic number, because the mean of its divisors is an integer number (6857865).

Almost surely, 2^419973984 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 419973984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658355040).

419973984 is an abundant number, since it is smaller than the sum of its proper divisors (896736096).

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

419973984 is an equidigital number, since it uses as much as digits as its factorization.

419973984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401 (or 375 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 54.

The square root of 419973984 is about 20493.2667966823. The cubic root of 419973984 is about 748.8717756642.

The spelling of 419973984 in words is "four hundred nineteen million, nine hundred seventy-three thousand, nine hundred eighty-four".