290472 has 96 divisors (see below), whose sum is σ = 957600. Its totient is φ = 72576.

The previous prime is 290471. The next prime is 290473. The reversal of 290472 is 274092.

290472 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (290471) and next prime (290473).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (290471) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15279 + ... + 15297.

It is an arithmetic number, because the mean of its divisors is an integer number (9975).

2²⁹⁰⁴⁷² 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 290472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478800).

290472 is an abundant number, since it is smaller than the sum of its proper divisors (667128).

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

290472 is a wasteful number, since it uses less digits than its factorization.

290472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 290472 is about 538.9545435378. The cubic root of 290472 is about 66.2269505672.

The spelling of 290472 in words is "two hundred ninety thousand, four hundred seventy-two".