411845472 has 120 divisors (see below), whose sum is σ = 1253221200. Its totient is φ = 132523776.

The previous prime is 411845459. The next prime is 411845479. The reversal of 411845472 is 274548114.

It is a happy number.

411845472 is a `hidden beast` number, since 4 + 1 + 184 + 5 + 472 = 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 (411845479) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 72429 + ... + 77907.

It is an arithmetic number, because the mean of its divisors is an integer number (10443510).

Almost surely, 2^411845472 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 411845472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (626610600).

411845472 is an abundant number, since it is smaller than the sum of its proper divisors (841375728).

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

411845472 is a wasteful number, since it uses less digits than its factorization.

411845472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5530 (or 5513 counting only the distinct ones).

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

The square root of 411845472 is about 20293.9762491238. The cubic root of 411845472 is about 744.0088448480.

It can be divided in two parts, 41184 and 5472, that added together give a 6-th power (46656 = 6⁶).

The spelling of 411845472 in words is "four hundred eleven million, eight hundred forty-five thousand, four hundred seventy-two".