290945952 has 240 divisors, whose sum is σ = 974030400. Its totient is φ = 84332160.

The previous prime is 290945923. The next prime is 290945957. The reversal of 290945952 is 259549092.

It is a junction number, because it is equal to n+sod(n) for n = 290945898 and 290945907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (290945957) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12649813 + ... + 12649835.

It is an arithmetic number, because the mean of its divisors is an integer number (4058460).

Almost surely, 2^290945952 is an apocalyptic number.

290945952 is a gapful number since it is divisible by the number (22) 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 290945952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487015200).

290945952 is an abundant number, since it is smaller than the sum of its proper divisors (683084448).

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

290945952 is an equidigital number, since it uses as much as digits as its factorization.

290945952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The square root of 290945952 is about 17057.1378607315. The cubic root of 290945952 is about 662.6295098417.

The spelling of 290945952 in words is "two hundred ninety million, nine hundred forty-five thousand, nine hundred fifty-two".