200352880 has 240 divisors, whose sum is σ = 604514880. Its totient is φ = 60383232.

The previous prime is 200352877. The next prime is 200352923. The reversal of 200352880 is 88253002.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2744524 + ... + 2744596.

It is an arithmetic number, because the mean of its divisors is an integer number (2518812).

Almost surely, 2^200352880 is an apocalyptic number.

200352880 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 200352880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302257440).

200352880 is an abundant number, since it is smaller than the sum of its proper divisors (404162000).

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

200352880 is a wasteful number, since it uses less digits than its factorization.

200352880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 200352880 is about 14154.6063173795. The cubic root of 200352880 is about 585.1472880164.

The spelling of 200352880 in words is "two hundred million, three hundred fifty-two thousand, eight hundred eighty".