290752 has 56 divisors (see below), whose sum is σ = 731520. Its totient is φ = 111360.

The previous prime is 290737. The next prime is 290761. The reversal of 290752 is 257092.

It is a tau number, because it is divible by the number of its divisors (56).

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

290752 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 7 ways as a sum of consecutive naturals, for example, 4899 + ... + 4957.

2²⁹⁰⁷⁵² is an apocalyptic number.

290752 is a gapful number since it is divisible by the number (22) 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 290752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365760).

290752 is an abundant number, since it is smaller than the sum of its proper divisors (440768).

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

290752 is a wasteful number, since it uses less digits than its factorization.

290752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 25.

The square root of 290752 is about 539.2142431353. The cubic root of 290752 is about 66.2482235195.

The spelling of 290752 in words is "two hundred ninety thousand, seven hundred fifty-two".