288960340 has 12 divisors (see below), whose sum is σ = 606816756. Its totient is φ = 115584128.

The previous prime is 288960317. The next prime is 288960349. The reversal of 288960340 is 43069882.

It can be written as a sum of positive squares in 2 ways, for example, as 177742224 + 111218116 = 13332^2 + 10546^2 .

It is a junction number, because it is equal to n+sod(n) for n = 288960293 and 288960302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (288960349) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7223989 + ... + 7224028.

It is an arithmetic number, because the mean of its divisors is an integer number (50568063).

Almost surely, 2^288960340 is an apocalyptic number.

288960340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

288960340 is an abundant number, since it is smaller than the sum of its proper divisors (317856416).

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

288960340 is a wasteful number, since it uses less digits than its factorization.

288960340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14448026 (or 14448024 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 40.

The square root of 288960340 is about 16998.8334893898. The cubic root of 288960340 is about 661.1186569035.

The spelling of 288960340 in words is "two hundred eighty-eight million, nine hundred sixty thousand, three hundred forty".