289954560 has 432 divisors, whose sum is σ = 1140846336. Its totient is φ = 62447616.

The previous prime is 289954541. The next prime is 289954597. The reversal of 289954560 is 65459982.

It is a super-3 number, since 3×289954560³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4327647 + ... + 4327713.

It is an arithmetic number, because the mean of its divisors is an integer number (2640848).

Almost surely, 2^289954560 is an apocalyptic number.

289954560 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 289954560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570423168).

289954560 is an abundant number, since it is smaller than the sum of its proper divisors (850891776).

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

289954560 is a wasteful number, since it uses less digits than its factorization.

289954560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 48.

The square root of 289954560 is about 17028.0521493211. The cubic root of 289954560 is about 661.8760214825.

The spelling of 289954560 in words is "two hundred eighty-nine million, nine hundred fifty-four thousand, five hundred sixty".