411122400 has 144 divisors (see below), whose sum is σ = 1441251504. Its totient is φ = 101191680.

The previous prime is 411122359. The next prime is 411122423. The reversal of 411122400 is 4221114.

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 411122400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24612 + ... + 37788.

It is an arithmetic number, because the mean of its divisors is an integer number (10008691).

Almost surely, 2^411122400 is an apocalyptic number.

411122400 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 411122400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (720625752).

411122400 is an abundant number, since it is smaller than the sum of its proper divisors (1030129104).

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

411122400 is a wasteful number, since it uses less digits than its factorization.

411122400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13213 (or 13200 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 411122400 is about 20276.1534813682. The cubic root of 411122400 is about 743.5731740731.

Adding to 411122400 its reverse (4221114), we get a palindrome (415343514).

The spelling of 411122400 in words is "four hundred eleven million, one hundred twenty-two thousand, four hundred".