411986772 has 72 divisors (see below), whose sum is σ = 1126210176. Its totient is φ = 126491904.

The previous prime is 411986767. The next prime is 411986779. The reversal of 411986772 is 277689114.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (411986779) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21603 + ... + 35925.

It is an arithmetic number, because the mean of its divisors is an integer number (15641808).

Almost surely, 2^411986772 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 411986772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563105088).

411986772 is an abundant number, since it is smaller than the sum of its proper divisors (714223404).

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

411986772 is a wasteful number, since it uses less digits than its factorization.

411986772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14397 (or 14392 counting only the distinct ones).

The product of its digits is 169344, while the sum is 45.

The square root of 411986772 is about 20297.4572791766. The cubic root of 411986772 is about 744.0939224126.

The spelling of 411986772 in words is "four hundred eleven million, nine hundred eighty-six thousand, seven hundred seventy-two".