200252520 has 256 divisors, whose sum is σ = 762048000. Its totient is φ = 46338048.

The previous prime is 200252501. The next prime is 200252527. The reversal of 200252520 is 25252002.

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 = 200252493 and 200252502.

It is not an unprimeable number, because it can be changed into a prime (200252527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 238261 + ... + 239099.

It is an arithmetic number, because the mean of its divisors is an integer number (2976750).

Almost surely, 2^200252520 is an apocalyptic number.

200252520 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 200252520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381024000).

200252520 is an abundant number, since it is smaller than the sum of its proper divisors (561795480).

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

200252520 is a wasteful number, since it uses less digits than its factorization.

200252520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 889 (or 879 counting only the distinct ones).

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

The square root of 200252520 is about 14151.0607376267. The cubic root of 200252520 is about 585.0495684494.

The spelling of 200252520 in words is "two hundred million, two hundred fifty-two thousand, five hundred twenty".