411232000 has 144 divisors (see below), whose sum is σ = 1044598464. Its totient is φ = 161280000.

The previous prime is 411231983. The next prime is 411232007. The reversal of 411232000 is 232114.

It is a super-2 number, since 2×411232000² = 338223515648000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (411232007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2271910 + ... + 2272090.

It is an arithmetic number, because the mean of its divisors is an integer number (7254156).

Almost surely, 2^411232000 is an apocalyptic number.

411232000 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 411232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522299232).

411232000 is an abundant number, since it is smaller than the sum of its proper divisors (633366464).

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

411232000 is an equidigital number, since it uses as much as digits as its factorization.

411232000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 411232000 is about 20278.8559835115. The cubic root of 411232000 is about 743.6392439175.

Adding to 411232000 its reverse (232114), we get a palindrome (411464114).

The spelling of 411232000 in words is "four hundred eleven million, two hundred thirty-two thousand".