200290560 has 144 divisors (see below), whose sum is σ = 655093824. Its totient is φ = 52125696.

The previous prime is 200290553. The next prime is 200290561. The reversal of 200290560 is 65092002.

It is a super-2 number, since 2×200290560² = 80232616850227200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

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 200290560.

It is not an unprimeable number, because it can be changed into a prime (200290561) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 164514 + ... + 165726.

Almost surely, 2^200290560 is an apocalyptic number.

200290560 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 200290560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327546912).

200290560 is an abundant number, since it is smaller than the sum of its proper divisors (454803264).

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

200290560 is a wasteful number, since it uses less digits than its factorization.

200290560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1280 (or 1266 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 200290560 is about 14152.4047426577. The cubic root of 200290560 is about 585.0866114731.

The spelling of 200290560 in words is "two hundred million, two hundred ninety thousand, five hundred sixty".