412189472 has 54 divisors (see below), whose sum is σ = 842709987. Its totient is φ = 198457344.

The previous prime is 412189471. The next prime is 412189487. The reversal of 412189472 is 274981214.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 355096336 + 57093136 = 18844^2 + 7556^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=14356.

It is an alternating number because its digits alternate between even and odd.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (412189471) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4249328 + ... + 4249424.

Almost surely, 2^412189472 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 412189472

412189472 is an abundant number, since it is smaller than the sum of its proper divisors (430520515).

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

412189472 is an frugal number, since it uses more digits than its factorization.

412189472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 136 counting only the distinct ones).

The product of its digits is 32256, while the sum is 38.

The square root of 412189472 is about 20302.4499014282. The cubic root of 412189472 is about 744.2159353177.

The spelling of 412189472 in words is "four hundred twelve million, one hundred eighty-nine thousand, four hundred seventy-two".