290825856 has 256 divisors, whose sum is σ = 933504000. Its totient is φ = 88833024.

The previous prime is 290825789. The next prime is 290825861. The reversal of 290825856 is 658528092.

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, 2823501 + ... + 2823603.

It is an arithmetic number, because the mean of its divisors is an integer number (3646500).

Almost surely, 2^290825856 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 290825856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466752000).

290825856 is an abundant number, since it is smaller than the sum of its proper divisors (642678144).

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

290825856 is a wasteful number, since it uses less digits than its factorization.

290825856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 290825856 is about 17053.6170943293. The cubic root of 290825856 is about 662.5383243998.

The spelling of 290825856 in words is "two hundred ninety million, eight hundred twenty-five thousand, eight hundred fifty-six".