288461540 has 12 divisors (see below), whose sum is σ = 605769276. Its totient is φ = 115384608.

The previous prime is 288461539. The next prime is 288461567. The reversal of 288461540 is 45164882.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 54493924 + 233967616 = 7382^2 + 15296^2 .

It is a junction number, because it is equal to n+sod(n) for n = 288461494 and 288461503.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7211519 + ... + 7211558.

It is an arithmetic number, because the mean of its divisors is an integer number (50480773).

Almost surely, 2^288461540 is an apocalyptic number.

288461540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

288461540 is an abundant number, since it is smaller than the sum of its proper divisors (317307736).

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

288461540 is a wasteful number, since it uses less digits than its factorization.

288461540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14423086 (or 14423084 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 38.

The square root of 288461540 is about 16984.1555574600. The cubic root of 288461540 is about 660.7380326809.

The spelling of 288461540 in words is "two hundred eighty-eight million, four hundred sixty-one thousand, five hundred forty".