411113400 has 96 divisors (see below), whose sum is σ = 1278608640. Its totient is φ = 109272960.

The previous prime is 411113399. The next prime is 411113429. The reversal of 411113400 is 4311114.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 411113400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 219267 + ... + 221133.

It is an arithmetic number, because the mean of its divisors is an integer number (13318840).

Almost surely, 2^411113400 is an apocalyptic number.

411113400 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 411113400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639304320).

411113400 is an abundant number, since it is smaller than the sum of its proper divisors (867495240).

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

411113400 is a wasteful number, since it uses less digits than its factorization.

411113400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2253 (or 2244 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 411113400 is about 20275.9315445678. The cubic root of 411113400 is about 743.5677481080.

Adding to 411113400 its reverse (4311114), we get a palindrome (415424514).

The spelling of 411113400 in words is "four hundred eleven million, one hundred thirteen thousand, four hundred".