412896204900 has 81 divisors (see below), whose sum is σ = 1294260641401. Its totient is φ = 110100514080.

The previous prime is 412896204887. The next prime is 412896204923. The reversal of 412896204900 is 9402698214.

The square root of 412896204900 is 642570.

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

412896204900 is a `hidden beast` number, since 4 + 12 + 8 + 9 + 620 + 4 + 9 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 148642633764 + 264253571136 = 385542^2 + 514056^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 19266391 + ... + 19287809.

Almost surely, 2^412896204900 is an apocalyptic number.

412896204900 is the 642570-th square number.

It is an amenable number.

412896204900 is an abundant number, since it is smaller than the sum of its proper divisors (881364436501).

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

412896204900 is an equidigital number, since it uses as much as digits as its factorization.

412896204900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42858 (or 21429 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

It can be divided in two parts, 412896 and 204900, that added together give a square (617796 = 786²).

The spelling of 412896204900 in words is "four hundred twelve billion, eight hundred ninety-six million, two hundred four thousand, nine hundred".