412212032 has 56 divisors (see below), whose sum is σ = 866988360. Its totient is φ = 194109440.

The previous prime is 412212023. The next prime is 412212041. The reversal of 412212032 is 230212214.

It is an interprime number because it is at equal distance from previous prime (412212023) and next prime (412212041).

It can be written as a sum of positive squares in 4 ways, for example, as 6431296 + 405780736 = 2536^2 + 20144^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 412212032.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 73388 + ... + 78804.

It is an arithmetic number, because the mean of its divisors is an integer number (15481935).

Almost surely, 2^412212032 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 412212032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433494180).

412212032 is an abundant number, since it is smaller than the sum of its proper divisors (454776328).

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

412212032 is a wasteful number, since it uses less digits than its factorization.

412212032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5499 (or 5489 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 412212032 is about 20303.0054917985. The cubic root of 412212032 is about 744.2295125731.

Adding to 412212032 its reverse (230212214), we get a palindrome (642424246).

The spelling of 412212032 in words is "four hundred twelve million, two hundred twelve thousand, thirty-two".