890048200 has 48 divisors (see below), whose sum is σ = 2071335060. Its totient is φ = 355680000.

The previous prime is 890048171. The next prime is 890048219. The reversal of 890048200 is 2840098.

It can be written as a sum of positive squares in 6 ways, for example, as 185995044 + 704053156 = 13638^2 + 26534^2 .

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 11 ways as a sum of consecutive naturals, for example, 379030 + ... + 381370.

Almost surely, 2^890048200 is an apocalyptic number.

It is an amenable number.

890048200 is an abundant number, since it is smaller than the sum of its proper divisors (1181286860).

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

890048200 is a wasteful number, since it uses less digits than its factorization.

890048200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4258 (or 4249 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 890048200 is about 29833.6756032508. The cubic root of 890048200 is about 961.9175359340.

Adding to 890048200 its reverse (2840098), we get a palindrome (892888298).

It can be divided in two parts, 8 and 90048200, that multiplied together give a square (720385600 = 26840²).

The spelling of 890048200 in words is "eight hundred ninety million, forty-eight thousand, two hundred".