288415 has 8 divisors (see below), whose sum is σ = 355680. Its totient is φ = 224352.

The previous prime is 288413. The next prime is 288427. The reversal of 288415 is 514882.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 288415 - 2¹ = 288413 is a prime.

288415 is a lucky number.

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (288413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 595 + ... + 964.

It is an arithmetic number, because the mean of its divisors is an integer number (44460).

2²⁸⁸⁴¹⁵ is an apocalyptic number.

288415 is a deficient number, since it is larger than the sum of its proper divisors (67265).

288415 is a wasteful number, since it uses less digits than its factorization.

288415 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1601.

The product of its digits is 2560, while the sum is 28.

The square root of 288415 is about 537.0428288321. The cubic root of 288415 is about 66.0702496572.

It can be divided in two parts, 288 and 415, that added together give a triangular number (703 = T₃₇).

The spelling of 288415 in words is "two hundred eighty-eight thousand, four hundred fifteen".