289986480 has 240 divisors, whose sum is σ = 1154759424. Its totient is φ = 66251520.

The previous prime is 289986467. The next prime is 289986491. The reversal of 289986480 is 84689982.

289986480 is a `hidden beast` number, since 2 + 89 + 9 + 86 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 47 ways as a sum of consecutive naturals, for example, 135015 + ... + 137145.

Almost surely, 2^289986480 is an apocalyptic number.

289986480 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 289986480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577379712).

289986480 is an abundant number, since it is smaller than the sum of its proper divisors (864772944).

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

289986480 is a wasteful number, since it uses less digits than its factorization.

289986480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2166 (or 2148 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The square root of 289986480 is about 17028.9894004313. The cubic root of 289986480 is about 661.9003084000.

The spelling of 289986480 in words is "two hundred eighty-nine million, nine hundred eighty-six thousand, four hundred eighty".