200250720 has 144 divisors (see below), whose sum is σ = 695232720. Its totient is φ = 52472832.

The previous prime is 200250689. The next prime is 200250749. The reversal of 200250720 is 27052002.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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 = 200250693 and 200250702.

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, 83782 + ... + 86138.

It is an arithmetic number, because the mean of its divisors is an integer number (4828005).

Almost surely, 2^200250720 is an apocalyptic number.

200250720 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 200250720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347616360).

200250720 is an abundant number, since it is smaller than the sum of its proper divisors (494982000).

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

200250720 is a wasteful number, since it uses less digits than its factorization.

200250720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2437 (or 2426 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 200250720 is about 14150.9971380112. The cubic root of 200250720 is about 585.0478155087.

The spelling of 200250720 in words is "two hundred million, two hundred fifty thousand, seven hundred twenty".