290234880 has 640 divisors, whose sum is σ = 1237420800. Its totient is φ = 63700992.

The previous prime is 290234873. The next prime is 290234887. The reversal of 290234880 is 88432092.

It is an interprime number because it is at equal distance from previous prime (290234873) and next prime (290234887).

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×290234880² = 168472571137228800, which contains 22 as substring.

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 (290234887) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15275511 + ... + 15275529.

It is an arithmetic number, because the mean of its divisors is an integer number (1933470).

Almost surely, 2^290234880 is an apocalyptic number.

290234880 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 290234880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618710400).

290234880 is an abundant number, since it is smaller than the sum of its proper divisors (947185920).

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

290234880 is a wasteful number, since it uses less digits than its factorization.

290234880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 290234880 is about 17036.2812843648. The cubic root of 290234880 is about 662.0892472235.

The spelling of 290234880 in words is "two hundred ninety million, two hundred thirty-four thousand, eight hundred eighty".