288482420 has 24 divisors (see below), whose sum is σ = 615747048. Its totient is φ = 113500800.

The previous prime is 288482393. The next prime is 288482479. The reversal of 288482420 is 24284882.

It is a happy number.

288482420 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 12988816 + 275493604 = 3604^2 + 16598^2 .

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 117011 + ... + 119450.

It is an arithmetic number, because the mean of its divisors is an integer number (25656127).

Almost surely, 2^288482420 is an apocalyptic number.

288482420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

288482420 is an abundant number, since it is smaller than the sum of its proper divisors (327264628).

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

288482420 is a wasteful number, since it uses less digits than its factorization.

288482420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236531 (or 236529 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 38.

The square root of 288482420 is about 16984.7702368916. The cubic root of 288482420 is about 660.7539745834.

The spelling of 288482420 in words is "two hundred eighty-eight million, four hundred eighty-two thousand, four hundred twenty".