288852480 has 400 divisors, whose sum is σ = 1188316800. Its totient is φ = 65691648.

The previous prime is 288852449. The next prime is 288852481. The reversal of 288852480 is 84258882.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (288852481) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1451421 + ... + 1451619.

It is an arithmetic number, because the mean of its divisors is an integer number (2970792).

Almost surely, 2^288852480 is an apocalyptic number.

288852480 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 288852480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594158400).

288852480 is an abundant number, since it is smaller than the sum of its proper divisors (899464320).

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

288852480 is an equidigital number, since it uses as much as digits as its factorization.

288852480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 327680, while the sum is 45.

The square root of 288852480 is about 16995.6606226413. The cubic root of 288852480 is about 661.0363882519.

The spelling of 288852480 in words is "two hundred eighty-eight million, eight hundred fifty-two thousand, four hundred eighty".