412125032 has 96 divisors (see below), whose sum is σ = 898468200. Its totient is φ = 176816640.

The previous prime is 412125031. The next prime is 412125037. The reversal of 412125032 is 230521214.

It can be written as a sum of positive squares in 4 ways, for example, as 335842276 + 76282756 = 18326^2 + 8734^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 412124995 and 412125013.

It is not an unprimeable number, because it can be changed into a prime (412125031) 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 23 ways as a sum of consecutive naturals, for example, 1487678 + ... + 1487954.

Almost surely, 2^412125032 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 412125032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449234100).

412125032 is an abundant number, since it is smaller than the sum of its proper divisors (486343168).

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

412125032 is a wasteful number, since it uses less digits than its factorization.

412125032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 412125032 is about 20300.8628388056. The cubic root of 412125032 is about 744.1771507478.

Adding to 412125032 its reverse (230521214), we get a palindrome (642646246).

The spelling of 412125032 in words is "four hundred twelve million, one hundred twenty-five thousand, thirty-two".