288474048 has 140 divisors (see below), whose sum is σ = 862396040. Its totient is φ = 95738112.

The previous prime is 288474007. The next prime is 288474077. The reversal of 288474048 is 840474882.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 288473994 and 288474012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1259598 + ... + 1259826.

Almost surely, 2^288474048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 288474048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431198020).

288474048 is an abundant number, since it is smaller than the sum of its proper divisors (573921992).

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

288474048 is an frugal number, since it uses more digits than its factorization.

288474048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 458752, while the sum is 45.

The square root of 288474048 is about 16984.5237790172. The cubic root of 288474048 is about 660.7475826448.

The spelling of 288474048 in words is "two hundred eighty-eight million, four hundred seventy-four thousand, forty-eight".