410984920 has 64 divisors (see below), whose sum is σ = 958003200. Its totient is φ = 158578560.

The previous prime is 410984909. The next prime is 410984923. The reversal of 410984920 is 29489014.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 410984920.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (410984923) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 131941 + ... + 135019.

It is an arithmetic number, because the mean of its divisors is an integer number (14968800).

Almost surely, 2^410984920 is an apocalyptic number.

410984920 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 410984920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479001600).

410984920 is an abundant number, since it is smaller than the sum of its proper divisors (547018280).

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

410984920 is a wasteful number, since it uses less digits than its factorization.

410984920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3208 (or 3204 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 37.

The square root of 410984920 is about 20272.7630085294. The cubic root of 410984920 is about 743.4902808058.

The spelling of 410984920 in words is "four hundred ten million, nine hundred eighty-four thousand, nine hundred twenty".