290950920 has 512 divisors, whose sum is σ = 1175731200. Its totient is φ = 63258624.

The previous prime is 290950901. The next prime is 290950921. The reversal of 290950920 is 29059092.

290950920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 (290950921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5489614 + ... + 5489666.

It is an arithmetic number, because the mean of its divisors is an integer number (2296350).

Almost surely, 2^290950920 is an apocalyptic number.

290950920 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 290950920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587865600).

290950920 is an abundant number, since it is smaller than the sum of its proper divisors (884780280).

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

290950920 is a wasteful number, since it uses less digits than its factorization.

290950920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The square root of 290950920 is about 17057.2834882932. The cubic root of 290950920 is about 662.6332813608.

The spelling of 290950920 in words is "two hundred ninety million, nine hundred fifty thousand, nine hundred twenty".