412632144 has 200 divisors, whose sum is σ = 1267537920. Its totient is φ = 129330432.

The previous prime is 412632079. The next prime is 412632173. The reversal of 412632144 is 441236214.

It is a happy number.

412632144 is a `hidden beast` number, since 4 + 12 + 632 + 14 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3249009 + ... + 3249135.

Almost surely, 2^412632144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412632144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633768960).

412632144 is an abundant number, since it is smaller than the sum of its proper divisors (854905776).

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

412632144 is a wasteful number, since it uses less digits than its factorization.

412632144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 264 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 412632144 is about 20313.3489114917. The cubic root of 412632144 is about 744.4822575745.

Adding to 412632144 its reverse (441236214), we get a palindrome (853868358).

The spelling of 412632144 in words is "four hundred twelve million, six hundred thirty-two thousand, one hundred forty-four".