412406254036 has 72 divisors (see below), whose sum is σ = 846194357736. Its totient is φ = 175346519040.

The previous prime is 412406254033. The next prime is 412406254037. The reversal of 412406254036 is 630452604214.

It can be written as a sum of positive squares in 4 ways, for example, as 151585635600 + 260820618436 = 389340^2 + 510706^2 .

It is a junction number, because it is equal to n+sod(n) for n = 412406253986 and 412406254004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412406254033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55123416 + ... + 55130896.

It is an arithmetic number, because the mean of its divisors is an integer number (11752699413).

Almost surely, 2^412406254036 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 412406254036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423097178868).

412406254036 is an abundant number, since it is smaller than the sum of its proper divisors (433788103700).

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

412406254036 is a wasteful number, since it uses less digits than its factorization.

412406254036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9689 (or 9680 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 37.

The spelling of 412406254036 in words is "four hundred twelve billion, four hundred six million, two hundred fifty-four thousand, thirty-six".