845064900 has 405 divisors, whose sum is σ = 3071202519. Its totient is φ = 200931840.

The previous prime is 845064893. The next prime is 845064911. The reversal of 845064900 is 9460548.

The square root of 845064900 is 29070.

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

845064900 is a `hidden beast` number, since 8 + 4 + 5 + 0 + 649 + 0 + 0 = 666.

845064900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 19766916 + 825297984 = 4446^2 + 28728^2 .

It is a tau number, because it is divible by the number of its divisors (405).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 44477091 + ... + 44477109.

Almost surely, 2^845064900 is an apocalyptic number.

845064900 is the 29070-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 845064900

845064900 is an abundant number, since it is smaller than the sum of its proper divisors (2226137619).

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

845064900 is a wasteful number, since it uses less digits than its factorization.

845064900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The cubic root of 845064900 is about 945.4313978946.

Multiplying 845064900 by its sum of digits (36), we get a square (30422336400 = 174420²).

845064900 divided by its sum of digits (36) gives a square (23474025 = 4845²).

The spelling of 845064900 in words is "eight hundred forty-five million, sixty-four thousand, nine hundred".