200644416 has 126 divisors (see below), whose sum is σ = 669100770. Its totient is φ = 57318912.

The previous prime is 200644393. The next prime is 200644429. The reversal of 200644416 is 614446002.

200644416 is a `hidden beast` number, since 2 + 0 + 0 + 644 + 4 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 138297600 + 62346816 = 11760^2 + 7896^2 .

It is a tau number, because it is divible by the number of its divisors (126).

It is a self number, because there is not a number n which added to its sum of digits gives 200644416.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 24670 + ... + 31778.

Almost surely, 2^200644416 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 200644416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334550385).

200644416 is an abundant number, since it is smaller than the sum of its proper divisors (468456354).

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

200644416 is a wasteful number, since it uses less digits than its factorization.

200644416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7141 (or 7121 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 200644416 is about 14164.9008468115. The cubic root of 200644416 is about 585.4309688621.

The spelling of 200644416 in words is "two hundred million, six hundred forty-four thousand, four hundred sixteen".