200045520 has 120 divisors (see below), whose sum is σ = 678249000. Its totient is φ = 52835328.

The previous prime is 200045507. The next prime is 200045537. The reversal of 200045520 is 25540002.

It can be written as a sum of positive squares in 4 ways, for example, as 78428736 + 121616784 = 8856^2 + 11028^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 200045493 and 200045502.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77206 + ... + 79754.

It is an arithmetic number, because the mean of its divisors is an integer number (5652075).

Almost surely, 2^200045520 is an apocalyptic number.

200045520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200045520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339124500).

200045520 is an abundant number, since it is smaller than the sum of its proper divisors (478203480).

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

200045520 is a wasteful number, since it uses less digits than its factorization.

200045520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2677 (or 2668 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 200045520 is about 14143.7449072019. The cubic root of 200045520 is about 584.8479113728.

Adding to 200045520 its reverse (25540002), we get a palindrome (225585522).

The spelling of 200045520 in words is "two hundred million, forty-five thousand, five hundred twenty".