411857952 has 192 divisors, whose sum is σ = 1235533824. Its totient is φ = 119024640.

The previous prime is 411857939. The next prime is 411857959. The reversal of 411857952 is 259758114.

It is not an unprimeable number, because it can be changed into a prime (411857959) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3242913 + ... + 3243039.

It is an arithmetic number, because the mean of its divisors is an integer number (6435072).

Almost surely, 2^411857952 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 411857952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617766912).

411857952 is an abundant number, since it is smaller than the sum of its proper divisors (823675872).

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

411857952 is a wasteful number, since it uses less digits than its factorization.

411857952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 263 counting only the distinct ones).

The product of its digits is 100800, while the sum is 42.

The square root of 411857952 is about 20294.2837271977. The cubic root of 411857952 is about 744.0163599131.

The spelling of 411857952 in words is "four hundred eleven million, eight hundred fifty-seven thousand, nine hundred fifty-two".