290047200 has 144 divisors (see below), whose sum is σ = 999779760. Its totient is φ = 72785920.

The previous prime is 290047193. The next prime is 290047201. The reversal of 290047200 is 2740092.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (290047201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37246 + ... + 44354.

It is an arithmetic number, because the mean of its divisors is an integer number (6942915).

Almost surely, 2^290047200 is an apocalyptic number.

290047200 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 290047200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499889880).

290047200 is an abundant number, since it is smaller than the sum of its proper divisors (709732560).

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

290047200 is a wasteful number, since it uses less digits than its factorization.

290047200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7149 (or 7136 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 290047200 is about 17030.7721492597. The cubic root of 290047200 is about 661.9465034064.

Adding to 290047200 its reverse (2740092), we get a palindrome (292787292).

The spelling of 290047200 in words is "two hundred ninety million, forty-seven thousand, two hundred".