411985920 has 96 divisors (see below), whose sum is σ = 1318131360. Its totient is φ = 109854720.

The previous prime is 411985901. The next prime is 411985921. The reversal of 411985920 is 29589114.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (411985921) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24015 + ... + 37425.

It is an arithmetic number, because the mean of its divisors is an integer number (13730535).

Almost surely, 2^411985920 is an apocalyptic number.

411985920 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 411985920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659065680).

411985920 is an abundant number, since it is smaller than the sum of its proper divisors (906145440).

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

411985920 is a wasteful number, since it uses less digits than its factorization.

411985920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13441 (or 13421 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 39.

The square root of 411985920 is about 20297.4362913152. The cubic root of 411985920 is about 744.0934094767.

The spelling of 411985920 in words is "four hundred eleven million, nine hundred eighty-five thousand, nine hundred twenty".