200799144 has 192 divisors, whose sum is σ = 704995200. Its totient is φ = 50139648.

The previous prime is 200799143. The next prime is 200799173. The reversal of 200799144 is 441997002.

It is a super-2 number, since 2×200799144² = 80640592462265472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 200799099 and 200799108.

It is not an unprimeable number, because it can be changed into a prime (200799143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 123682 + ... + 125294.

It is an arithmetic number, because the mean of its divisors is an integer number (3671850).

Almost surely, 2^200799144 is an apocalyptic number.

200799144 is a gapful number since it is divisible by the number (24) 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 200799144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352497600).

200799144 is an abundant number, since it is smaller than the sum of its proper divisors (504196056).

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

200799144 is a wasteful number, since it uses less digits than its factorization.

200799144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1664 (or 1657 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 200799144 is about 14170.3614632796. The cubic root of 200799144 is about 585.5814162561.

The spelling of 200799144 in words is "two hundred million, seven hundred ninety-nine thousand, one hundred forty-four".