200284080 has 80 divisors (see below), whose sum is σ = 625864704. Its totient is φ = 52980480.

The previous prime is 200284079. The next prime is 200284093. The reversal of 200284080 is 80482002.

200284080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×200284080² = 80227425402892800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 200284080.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27195 + ... + 33765.

Almost surely, 2^200284080 is an apocalyptic number.

200284080 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 200284080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312932352).

200284080 is an abundant number, since it is smaller than the sum of its proper divisors (425580624).

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

200284080 is a wasteful number, since it uses less digits than its factorization.

200284080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6714 (or 6708 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 200284080 is about 14152.1758044479. The cubic root of 200284080 is about 585.0803016365.

The spelling of 200284080 in words is "two hundred million, two hundred eighty-four thousand, eighty".