290364 has 12 divisors (see below), whose sum is σ = 677544. Its totient is φ = 96784.

The previous prime is 290359. The next prime is 290369. The reversal of 290364 is 463092.

290364 = 187² + 188² + ... + 194².

It is an interprime number because it is at equal distance from previous prime (290359) and next prime (290369).

It is a tau number, because it is divible by the number of its divisors (12).

It is a super-2 number, since 2×290364² = 168622504992, which contains 22 as substring.

It is a d-powerful number, because it can be written as 2⁵ + 9³ + 3⁹ + 0 + 6⁵ + 4⁹ .

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 290364.

It is not an unprimeable number, because it can be changed into a prime (290369) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12087 + ... + 12110.

It is an arithmetic number, because the mean of its divisors is an integer number (56462).

2²⁹⁰³⁶⁴ is an apocalyptic number.

It is an amenable number.

290364 is an abundant number, since it is smaller than the sum of its proper divisors (387180).

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

290364 is a wasteful number, since it uses less digits than its factorization.

290364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24204 (or 24202 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 290364 is about 538.8543402442. The cubic root of 290364 is about 66.2187416322.

The spelling of 290364 in words is "two hundred ninety thousand, three hundred sixty-four".