288460800 has 234 divisors, whose sum is σ = 1036505522. Its totient is φ = 76677120.

The previous prime is 288460787. The next prime is 288460819. The reversal of 288460800 is 8064882.

It can be written as a sum of positive squares in 3 ways, for example, as 2985984 + 285474816 = 1728^2 + 16896^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 921444 + ... + 921756.

Almost surely, 2^288460800 is an apocalyptic number.

288460800 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 288460800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518252761).

288460800 is an abundant number, since it is smaller than the sum of its proper divisors (748044722).

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

288460800 is a wasteful number, since it uses less digits than its factorization.

288460800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 288460800 is about 16984.1337724360. The cubic root of 288460800 is about 660.7374676760.

It can be divided in two parts, 288 and 460800, that multiplied together give a square (132710400 = 11520²).

The spelling of 288460800 in words is "two hundred eighty-eight million, four hundred sixty thousand, eight hundred".