412221400 has 48 divisors (see below), whose sum is σ = 967951440. Its totient is φ = 163248000.

The previous prime is 412221379. The next prime is 412221419. The reversal of 412221400 is 4122214.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9997 + ... + 30403.

It is an arithmetic number, because the mean of its divisors is an integer number (20165655).

Almost surely, 2^412221400 is an apocalyptic number.

412221400 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 412221400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483975720).

412221400 is an abundant number, since it is smaller than the sum of its proper divisors (555730040).

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

412221400 is a wasteful number, since it uses less digits than its factorization.

412221400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20524 (or 20515 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 412221400 is about 20303.2361952473. The cubic root of 412221400 is about 744.2351503588.

Adding to 412221400 its reverse (4122214), we get a palindrome (416343614).

412221400 divided by its reverse (4122214) gives a square (100 = 10²).

The spelling of 412221400 in words is "four hundred twelve million, two hundred twenty-one thousand, four hundred".