412221440 has 144 divisors (see below), whose sum is σ = 1075834872. Its totient is φ = 150994944.

The previous prime is 412221431. The next prime is 412221451. The reversal of 412221440 is 44122214.

It can be written as a sum of positive squares in 4 ways, for example, as 409010176 + 3211264 = 20224^2 + 1792^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11141102 + ... + 11141138.

Almost surely, 2^412221440 is an apocalyptic number.

412221440 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 412221440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537917436).

412221440 is an abundant number, since it is smaller than the sum of its proper divisors (663613432).

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

412221440 is an frugal number, since it uses more digits than its factorization.

412221440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 412221440 is about 20303.2371803119. The cubic root of 412221440 is about 744.2351744311.

Adding to 412221440 its reverse (44122214), we get a palindrome (456343654).

The spelling of 412221440 in words is "four hundred twelve million, two hundred twenty-one thousand, four hundred forty".