290133792 has 144 divisors (see below), whose sum is σ = 916786080. Its totient is φ = 89227008.

The previous prime is 290133791. The next prime is 290133797. The reversal of 290133792 is 297331092.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (290133791) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 145023 + ... + 147009.

It is an arithmetic number, because the mean of its divisors is an integer number (6366570).

Almost surely, 2^290133792 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 290133792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458393040).

290133792 is an abundant number, since it is smaller than the sum of its proper divisors (626652288).

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

290133792 is a wasteful number, since it uses less digits than its factorization.

290133792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2032 (or 2005 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 290133792 is about 17033.3141813330. The cubic root of 290133792 is about 662.0123703508.

The spelling of 290133792 in words is "two hundred ninety million, one hundred thirty-three thousand, seven hundred ninety-two".