288990405 has 48 divisors (see below), whose sum is σ = 550877184. Its totient is φ = 138983040.

The previous prime is 288990379. The next prime is 288990407. The reversal of 288990405 is 504099882.

It is not a de Polignac number, because 288990405 - 2⁹ = 288989893 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 (288990407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 60567 + ... + 65163.

It is an arithmetic number, because the mean of its divisors is an integer number (11476608).

Almost surely, 2^288990405 is an apocalyptic number.

It is an amenable number.

288990405 is a deficient number, since it is larger than the sum of its proper divisors (261886779).

288990405 is a wasteful number, since it uses less digits than its factorization.

288990405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4746 (or 4743 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 288990405 is about 16999.7177917753. The cubic root of 288990405 is about 661.1415848978.

The spelling of 288990405 in words is "two hundred eighty-eight million, nine hundred ninety thousand, four hundred five".