288288450 has 96 divisors (see below), whose sum is σ = 799502400. Its totient is φ = 76383360.

The previous prime is 288288443. The next prime is 288288457. The reversal of 288288450 is 54882882.

It is an interprime number because it is at equal distance from previous prime (288288443) and next prime (288288457).

It is a super-2 number, since 2×288288450² = 166220460806805000, which contains 22 as substring.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 288288396 and 288288405.

It is not an unprimeable number, because it can be changed into a prime (288288457) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 241054 + ... + 242246.

It is an arithmetic number, because the mean of its divisors is an integer number (8328150).

Almost surely, 2^288288450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 288288450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399751200).

288288450 is an abundant number, since it is smaller than the sum of its proper divisors (511213950).

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

288288450 is a wasteful number, since it uses less digits than its factorization.

288288450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1393 (or 1382 counting only the distinct ones).

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

The square root of 288288450 is about 16979.0591612139. The cubic root of 288288450 is about 660.6058486482.

288288450 divided by its sum of digits (45) gives a triangular number (6406410 = T₃₅₇₉).

The spelling of 288288450 in words is "two hundred eighty-eight million, two hundred eighty-eight thousand, four hundred fifty".