412225440 has 192 divisors, whose sum is σ = 1432432512. Its totient is φ = 98816000.

The previous prime is 412225423. The next prime is 412225453. The reversal of 412225440 is 44522214.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 412225440.

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 31 ways as a sum of consecutive naturals, for example, 532894 + ... + 533666.

It is an arithmetic number, because the mean of its divisors is an integer number (7460586).

Almost surely, 2^412225440 is an apocalyptic number.

412225440 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 412225440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (716216256).

412225440 is an abundant number, since it is smaller than the sum of its proper divisors (1020207072).

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

412225440 is a wasteful number, since it uses less digits than its factorization.

412225440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 903 (or 895 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

The square root of 412225440 is about 20303.3356865319. The cubic root of 412225440 is about 744.2375816576.

Adding to 412225440 its reverse (44522214), we get a palindrome (456747654).

The spelling of 412225440 in words is "four hundred twelve million, two hundred twenty-five thousand, four hundred forty".