412144464 has 160 divisors (see below), whose sum is σ = 1175924736. Its totient is φ = 123863040.

The previous prime is 412144459. The next prime is 412144489. The reversal of 412144464 is 464441214.

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 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, 3245169 + ... + 3245295.

Almost surely, 2^412144464 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 412144464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587962368).

412144464 is an abundant number, since it is smaller than the sum of its proper divisors (763780272).

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

412144464 is a wasteful number, since it uses less digits than its factorization.

412144464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 287 counting only the distinct ones).

The product of its digits is 12288, while the sum is 30.

The square root of 412144464 is about 20301.3414335112. The cubic root of 412144464 is about 744.1888467316.

Adding to 412144464 its reverse (464441214), we get a palindrome (876585678).

The spelling of 412144464 in words is "four hundred twelve million, one hundred forty-four thousand, four hundred sixty-four".