412404160 has 112 divisors (see below), whose sum is σ = 1158727680. Its totient is φ = 136811520.

The previous prime is 412404149. The next prime is 412404163. The reversal of 412404160 is 61404214.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412404163) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 66471 + ... + 72409.

Almost surely, 2^412404160 is an apocalyptic number.

412404160 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 412404160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579363840).

412404160 is an abundant number, since it is smaller than the sum of its proper divisors (746323520).

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

412404160 is a wasteful number, since it uses less digits than its factorization.

412404160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5994 (or 5984 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 412404160 is about 20307.7364568285. The cubic root of 412404160 is about 744.3451206481.

Adding to 412404160 its reverse (61404214), we get a palindrome (473808374).

The spelling of 412404160 in words is "four hundred twelve million, four hundred four thousand, one hundred sixty".