411225984 has 256 divisors, whose sum is σ = 1334894400. Its totient is φ = 125411328.

The previous prime is 411225961. The next prime is 411225989. The reversal of 411225984 is 489522114.

411225984 is a `hidden beast` number, since 41 + 1 + 22 + 598 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (411225989) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 3639112 + ... + 3639224.

Almost surely, 2^411225984 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 411225984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (667447200).

411225984 is an abundant number, since it is smaller than the sum of its proper divisors (923668416).

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

411225984 is an equidigital number, since it uses as much as digits as its factorization.

411225984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 131 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 411225984 is about 20278.7076511300. The cubic root of 411225984 is about 743.6356176145.

The spelling of 411225984 in words is "four hundred eleven million, two hundred twenty-five thousand, nine hundred eighty-four".