411112400 has 60 divisors (see below), whose sum is σ = 992582304. Its totient is φ = 163632000.

The previous prime is 411112399. The next prime is 411112409. The reversal of 411112400 is 4211114.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (411112409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 81965 + ... + 86835.

Almost surely, 2^411112400 is an apocalyptic number.

411112400 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 411112400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496291152).

411112400 is an abundant number, since it is smaller than the sum of its proper divisors (581469904).

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

411112400 is a wasteful number, since it uses less digits than its factorization.

411112400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5100 (or 5089 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 411112400 is about 20275.9068847734. The cubic root of 411112400 is about 743.5671452181.

Adding to 411112400 its reverse (4211114), we get a palindrome (415323514).

The spelling of 411112400 in words is "four hundred eleven million, one hundred twelve thousand, four hundred".