419981860 has 72 divisors (see below), whose sum is σ = 928312056. Its totient is φ = 159505920.

The previous prime is 419981843. The next prime is 419981867. The reversal of 419981860 is 68189914.

It can be written as a sum of positive squares in 4 ways, for example, as 8054244 + 411927616 = 2838^2 + 20296^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 419981860.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (419981867) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1516042 + ... + 1516318.

It is an arithmetic number, because the mean of its divisors is an integer number (12893223).

Almost surely, 2^419981860 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 419981860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464156028).

419981860 is an abundant number, since it is smaller than the sum of its proper divisors (508330196).

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

419981860 is a wasteful number, since it uses less digits than its factorization.

419981860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 46.

The square root of 419981860 is about 20493.4589564573. The cubic root of 419981860 is about 748.8764569678.

The spelling of 419981860 in words is "four hundred nineteen million, nine hundred eighty-one thousand, eight hundred sixty".