290141376 has 112 divisors (see below), whose sum is σ = 891966720. Its totient is φ = 81515520.

The previous prime is 290141359. The next prime is 290141377. The reversal of 290141376 is 673141092.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (290141377) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 80215 + ... + 83753.

Almost surely, 2^290141376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 290141376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445983360).

290141376 is an abundant number, since it is smaller than the sum of its proper divisors (601825344).

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

290141376 is a wasteful number, since it uses less digits than its factorization.

290141376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3622 (or 3612 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 290141376 is about 17033.5368024377. The cubic root of 290141376 is about 662.0181385610.

The spelling of 290141376 in words is "two hundred ninety million, one hundred forty-one thousand, three hundred seventy-six".