288422640 has 320 divisors, whose sum is σ = 1107072000. Its totient is φ = 68428800.

The previous prime is 288422627. The next prime is 288422647. The reversal of 288422640 is 46224882.

It is a happy number.

288422640 is a `hidden beast` number, since 2 + 8 + 8 + 4 + 2 + 2 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 288422595 and 288422604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (288422647) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1449261 + ... + 1449459.

It is an arithmetic number, because the mean of its divisors is an integer number (3459600).

Almost surely, 2^288422640 is an apocalyptic number.

288422640 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 288422640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553536000).

288422640 is an abundant number, since it is smaller than the sum of its proper divisors (818649360).

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

288422640 is a wasteful number, since it uses less digits than its factorization.

288422640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 288422640 is about 16983.0103338601. The cubic root of 288422640 is about 660.7083304371.

The spelling of 288422640 in words is "two hundred eighty-eight million, four hundred twenty-two thousand, six hundred forty".