411872544 has 72 divisors (see below), whose sum is σ = 1178852220. Its totient is φ = 136401408.

The previous prime is 411872543. The next prime is 411872579. The reversal of 411872544 is 445278114.

It is a happy number.

411872544 is a `hidden beast` number, since 41 + 1 + 8 + 72 + 544 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 369100944 + 42771600 = 19212^2 + 6540^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a junction number, because it is equal to n+sod(n) for n = 411872499 and 411872508.

It is not an unprimeable number, because it can be changed into a prime (411872543) 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 11 ways as a sum of consecutive naturals, for example, 40662 + ... + 49770.

Almost surely, 2^411872544 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 411872544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589426110).

411872544 is an abundant number, since it is smaller than the sum of its proper divisors (766979676).

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

411872544 is a wasteful number, since it uses less digits than its factorization.

411872544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9282 (or 9271 counting only the distinct ones).

The product of its digits is 35840, while the sum is 36.

The square root of 411872544 is about 20294.6432341148. The cubic root of 411872544 is about 744.0251465659.

The spelling of 411872544 in words is "four hundred eleven million, eight hundred seventy-two thousand, five hundred forty-four".