200902720 has 56 divisors (see below), whose sum is σ = 494919000. Its totient is φ = 77586432.

The previous prime is 200902717. The next prime is 200902721. The reversal of 200902720 is 27209002.

It can be written as a sum of positive squares in 4 ways, for example, as 14197824 + 186704896 = 3768^2 + 13664^2 .

It is a junction number, because it is equal to n+sod(n) for n = 200902691 and 200902700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200902721) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1545 + ... + 20104.

Almost surely, 2^200902720 is an apocalyptic number.

200902720 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 200902720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247459500).

200902720 is an abundant number, since it is smaller than the sum of its proper divisors (294016280).

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

200902720 is a wasteful number, since it uses less digits than its factorization.

200902720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21695 (or 21685 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 22.

The square root of 200902720 is about 14174.0156624719. The cubic root of 200902720 is about 585.6820836096.

The spelling of 200902720 in words is "two hundred million, nine hundred two thousand, seven hundred twenty".