290207120 has 160 divisors (see below), whose sum is σ = 810424320. Its totient is φ = 94556160.

The previous prime is 290207117. The next prime is 290207131. The reversal of 290207120 is 21702092.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1267166 + ... + 1267394.

It is an arithmetic number, because the mean of its divisors is an integer number (5065152).

Almost surely, 2^290207120 is an apocalyptic number.

290207120 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 290207120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405212160).

290207120 is an abundant number, since it is smaller than the sum of its proper divisors (520217200).

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

290207120 is a wasteful number, since it uses less digits than its factorization.

290207120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 23.

The square root of 290207120 is about 17035.4665330891. The cubic root of 290207120 is about 662.0681376731.

The spelling of 290207120 in words is "two hundred ninety million, two hundred seven thousand, one hundred twenty".