290304960 has 224 divisors, whose sum is σ = 1034076672. Its totient is φ = 68382720.

The previous prime is 290304953. The next prime is 290304961. The reversal of 290304960 is 69403092.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (290304961) 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 31 ways as a sum of consecutive naturals, for example, 390349 + ... + 391091.

Almost surely, 2^290304960 is an apocalyptic number.

290304960 is a gapful number since it is divisible by the number (20) 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 290304960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517038336).

290304960 is an abundant number, since it is smaller than the sum of its proper divisors (743771712).

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

290304960 is a wasteful number, since it uses less digits than its factorization.

290304960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 811 (or 801 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 33.

The square root of 290304960 is about 17038.3379471121. The cubic root of 290304960 is about 662.1425322048.

The spelling of 290304960 in words is "two hundred ninety million, three hundred four thousand, nine hundred sixty".