290464 has 24 divisors (see below), whose sum is σ = 593460. Its totient is φ = 139776.

The previous prime is 290447. The next prime is 290471. The reversal of 290464 is 464092.

It can be written as a sum of positive squares in 2 ways, for example, as 258064 + 32400 = 508^2 + 180^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 772 + ... + 1084.

2²⁹⁰⁴⁶⁴ 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 290464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296730).

290464 is an abundant number, since it is smaller than the sum of its proper divisors (302996).

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

290464 is a wasteful number, since it uses less digits than its factorization.

290464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 290464 is about 538.9471217105. The cubic root of 290464 is about 66.2263425677.

The spelling of 290464 in words is "two hundred ninety thousand, four hundred sixty-four".