411822720 has 384 divisors, whose sum is σ = 1546646400. Its totient is φ = 100638720.

The previous prime is 411822689. The next prime is 411822721. The reversal of 411822720 is 27228114.

411822720 is a `hidden beast` number, since 411 + 8 + 227 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (411822721) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5800285 + ... + 5800355.

It is an arithmetic number, because the mean of its divisors is an integer number (4027725).

Almost surely, 2^411822720 is an apocalyptic number.

411822720 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 411822720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (773323200).

411822720 is an abundant number, since it is smaller than the sum of its proper divisors (1134823680).

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

411822720 is a wasteful number, since it uses less digits than its factorization.

411822720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 411822720 is about 20293.4156809543. The cubic root of 411822720 is about 743.9951439156.

The spelling of 411822720 in words is "four hundred eleven million, eight hundred twenty-two thousand, seven hundred twenty".