419981000 has 64 divisors (see below), whose sum is σ = 1005713280. Its totient is φ = 164068800.

The previous prime is 419980993. The next prime is 419981011. The reversal of 419981000 is 189914.

It is a super-2 number, since 2×419981000² = 352768080722000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38117 + ... + 47883.

It is an arithmetic number, because the mean of its divisors is an integer number (15714270).

Almost surely, 2^419981000 is an apocalyptic number.

419981000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 419981000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502856640).

419981000 is an abundant number, since it is smaller than the sum of its proper divisors (585732280).

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

419981000 is a wasteful number, since it uses less digits than its factorization.

419981000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9831 (or 9817 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 32.

The square root of 419981000 is about 20493.4379741419. The cubic root of 419981000 is about 748.8759458075.

The spelling of 419981000 in words is "four hundred nineteen million, nine hundred eighty-one thousand".