288287406 has 48 divisors (see below), whose sum is σ = 691037568. Its totient is φ = 86125200.

The previous prime is 288287371. The next prime is 288287407. The reversal of 288287406 is 604782882.

It is a happy number.

288287406 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (288287407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3805 + ... + 24311.

It is an arithmetic number, because the mean of its divisors is an integer number (14396616).

Almost surely, 2^288287406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 288287406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345518784).

288287406 is an abundant number, since it is smaller than the sum of its proper divisors (402750162).

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

288287406 is a wasteful number, since it uses less digits than its factorization.

288287406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20597 (or 20594 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The square root of 288287406 is about 16979.0284174331. The cubic root of 288287406 is about 660.6050512139.

The spelling of 288287406 in words is "two hundred eighty-eight million, two hundred eighty-seven thousand, four hundred six".