290952 has 40 divisors (see below), whose sum is σ = 816750. Its totient is φ = 96768.

The previous prime is 290923. The next prime is 290959. The reversal of 290952 is 259092.

It can be written as a sum of positive squares in only one way, i.e., 236196 + 54756 = 486^2 + 234^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 290952.

It is not an unprimeable number, because it can be changed into a prime (290959) by changing a digit.

290952 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 424 + ... + 872.

2²⁹⁰⁹⁵² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 290952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408375).

290952 is an abundant number, since it is smaller than the sum of its proper divisors (525798).

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

290952 is a wasteful number, since it uses less digits than its factorization.

290952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 290952 is about 539.3996662958. The cubic root of 290952 is about 66.2634101251.

The spelling of 290952 in words is "two hundred ninety thousand, nine hundred fifty-two".