290496000 has 320 divisors, whose sum is σ = 1034130240. Its totient is φ = 72089600.

The previous prime is 290495977. The next prime is 290496023. The reversal of 290496000 is 694092.

290496000 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 (290495977) and next prime (290496023).

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3263956 + ... + 3264044.

It is an arithmetic number, because the mean of its divisors is an integer number (3231657).

Almost surely, 2^290496000 is an apocalyptic number.

290496000 is a gapful number since it is divisible by the number (20) 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 290496000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517065120).

290496000 is an abundant number, since it is smaller than the sum of its proper divisors (743634240).

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

290496000 is an equidigital number, since it uses as much as digits as its factorization.

290496000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 290496000 is about 17043.9432057256. The cubic root of 290496000 is about 662.2877449860.

The spelling of 290496000 in words is "two hundred ninety million, four hundred ninety-six thousand".