412767700900 has 81 divisors (see below), whose sum is σ = 918671498787. Its totient is φ = 160977283200.

The previous prime is 412767700861. The next prime is 412767700909. The reversal of 412767700900 is 9007767214.

The square root of 412767700900 is 642470.

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

It can be written as a sum of positive squares in 4 ways, for example, as 173740579684 + 239027121216 = 416822^2 + 488904^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (412767700909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 263411917 + ... + 263413483.

Almost surely, 2^412767700900 is an apocalyptic number.

412767700900 is the 642470-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412767700900

412767700900 is an abundant number, since it is smaller than the sum of its proper divisors (505903797887).

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

412767700900 is an equidigital number, since it uses as much as digits as its factorization.

412767700900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3230 (or 1615 counting only the distinct ones).

The product of its (nonzero) digits is 148176, while the sum is 43.

The spelling of 412767700900 in words is "four hundred twelve billion, seven hundred sixty-seven million, seven hundred thousand, nine hundred".