290985264 has 160 divisors (see below), whose sum is σ = 867801600. Its totient is φ = 93300480.

The previous prime is 290985223. The next prime is 290985269. The reversal of 290985264 is 462589092.

It is not an unprimeable number, because it can be changed into a prime (290985269) 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, 1625527 + ... + 1625705.

It is an arithmetic number, because the mean of its divisors is an integer number (5423760).

Almost surely, 2^290985264 is an apocalyptic number.

290985264 is a gapful number since it is divisible by the number (24) 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 290985264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433900800).

290985264 is an abundant number, since it is smaller than the sum of its proper divisors (576816336).

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

290985264 is a wasteful number, since it uses less digits than its factorization.

290985264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 290985264 is about 17058.2901839545. The cubic root of 290985264 is about 662.6593528623.

The spelling of 290985264 in words is "two hundred ninety million, nine hundred eighty-five thousand, two hundred sixty-four".