411412000 has 96 divisors (see below), whose sum is σ = 1018652544. Its totient is φ = 163296000.

The previous prime is 411411983. The next prime is 411412021. The reversal of 411412000 is 214114.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 651685 + ... + 652315.

It is an arithmetic number, because the mean of its divisors is an integer number (10610964).

Almost surely, 2^411412000 is an apocalyptic number.

411412000 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 411412000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509326272).

411412000 is an abundant number, since it is smaller than the sum of its proper divisors (607240544).

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

411412000 is a wasteful number, since it uses less digits than its factorization.

411412000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 819 (or 801 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 411412000 is about 20283.2936181479. The cubic root of 411412000 is about 743.7477273193.

Adding to 411412000 its reverse (214114), we get a palindrome (411626114).

The spelling of 411412000 in words is "four hundred eleven million, four hundred twelve thousand".