290131200 has 432 divisors, whose sum is σ = 1125344640. Its totient is φ = 72990720.

The previous prime is 290131183. The next prime is 290131241. The reversal of 290131200 is 2131092.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×290131200² = 168352226426880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3974364 + ... + 3974436.

Almost surely, 2^290131200 is an apocalyptic number.

290131200 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 290131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562672320).

290131200 is an abundant number, since it is smaller than the sum of its proper divisors (835213440).

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

290131200 is a wasteful number, since it uses less digits than its factorization.

290131200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 290131200 is about 17033.2380949718. The cubic root of 290131200 is about 662.0103989142.

Subtracting from 290131200 its product of nonzero digits (108), we obtain a palindrome (290131092).

Adding to 290131200 its reverse (2131092), we get a palindrome (292262292).

The spelling of 290131200 in words is "two hundred ninety million, one hundred thirty-one thousand, two hundred".