290960000 has 80 divisors (see below), whose sum is σ = 724525890. Its totient is φ = 116352000.

The previous prime is 290959997. The next prime is 290960003. The reversal of 290960000 is 69092.

It is an interprime number because it is at equal distance from previous prime (290959997) and next prime (290960003).

It can be written as a sum of positive squares in 5 ways, for example, as 11669056 + 279290944 = 3416^2 + 16712^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (290960003) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 78182 + ... + 81818.

Almost surely, 2^290960000 is an apocalyptic number.

290960000 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 290960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362262945).

290960000 is an abundant number, since it is smaller than the sum of its proper divisors (433565890).

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

290960000 is an frugal number, since it uses more digits than its factorization.

290960000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3671 (or 3644 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 26.

The square root of 290960000 is about 17057.5496481763. The cubic root of 290960000 is about 662.6401744451.

The spelling of 290960000 in words is "two hundred ninety million, nine hundred sixty thousand".