290825456 has 40 divisors (see below), whose sum is σ = 586435680. Its totient is φ = 139548416.

The previous prime is 290825453. The next prime is 290825473. The reversal of 290825456 is 654528092.

290825456 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 (290825453) 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 7 ways as a sum of consecutive naturals, for example, 78461 + ... + 82083.

It is an arithmetic number, because the mean of its divisors is an integer number (14660892).

Almost surely, 2^290825456 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 290825456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293217840).

290825456 is an abundant number, since it is smaller than the sum of its proper divisors (295610224).

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

290825456 is a wasteful number, since it uses less digits than its factorization.

290825456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3833 (or 3827 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 41.

The square root of 290825456 is about 17053.6053666080. The cubic root of 290825456 is about 662.5380206493.

The spelling of 290825456 in words is "two hundred ninety million, eight hundred twenty-five thousand, four hundred fifty-six".