289473454080 has 896 divisors, whose sum is σ = 1108329609600. Its totient is φ = 71420608512.

The previous prime is 289473454021. The next prime is 289473454087. The reversal of 289473454080 is 80454374982.

289473454080 is a `hidden beast` number, since 2 + 8 + 94 + 7 + 3 + 4 + 540 + 8 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (289473454087) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1673256874 + ... + 1673257046.

Almost surely, 2^289473454080 is an apocalyptic number.

289473454080 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 289473454080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554164804800).

289473454080 is an abundant number, since it is smaller than the sum of its proper divisors (818856155520).

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

289473454080 is a wasteful number, since it uses less digits than its factorization.

289473454080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 289473454080 in words is "two hundred eighty-nine billion, four hundred seventy-three million, four hundred fifty-four thousand, eighty".