412536444100 has 81 divisors (see below), whose sum is σ = 984153202221. Its totient is φ = 149987560800.

The previous prime is 412536444077. The next prime is 412536444121. The reversal of 412536444100 is 1444635214.

The square root of 412536444100 is 642290.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 148513119876 + 264023324224 = 385374^2 + 513832^2 .

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 70648981 + ... + 70654819.

Almost surely, 2^412536444100 is an apocalyptic number.

412536444100 is the 642290-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412536444100

412536444100 is an abundant number, since it is smaller than the sum of its proper divisors (571616758121).

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

412536444100 is an equidigital number, since it uses as much as digits as its factorization.

412536444100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11714 (or 5857 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 34.

The spelling of 412536444100 in words is "four hundred twelve billion, five hundred thirty-six million, four hundred forty-four thousand, one hundred".