290431960 has 128 divisors (see below), whose sum is σ = 816036480. Its totient is φ = 90574848.

The previous prime is 290431957. The next prime is 290431969. The reversal of 290431960 is 69134092.

290431960 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (290431969) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 265174 + ... + 266266.

It is an arithmetic number, because the mean of its divisors is an integer number (6375285).

Almost surely, 2^290431960 is an apocalyptic number.

290431960 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 290431960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408018240).

290431960 is an abundant number, since it is smaller than the sum of its proper divisors (525604520).

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

290431960 is a wasteful number, since it uses less digits than its factorization.

290431960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1197 (or 1193 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 34.

The square root of 290431960 is about 17042.0644289358. The cubic root of 290431960 is about 662.2390741791.

The spelling of 290431960 in words is "two hundred ninety million, four hundred thirty-one thousand, nine hundred sixty".