289374120 has 192 divisors, whose sum is σ = 1114888320. Its totient is φ = 66127104.

The previous prime is 289374101. The next prime is 289374131. The reversal of 289374120 is 21473982.

289374120 is a `hidden beast` number, since 289 + 374 + 1 + 2 + 0 = 666.

It is a Cunningham number, because it is equal to 17011²-1.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 65914 + ... + 70166.

It is an arithmetic number, because the mean of its divisors is an integer number (5806710).

Almost surely, 2^289374120 is an apocalyptic number.

289374120 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 289374120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557444160).

289374120 is an abundant number, since it is smaller than the sum of its proper divisors (825514200).

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

289374120 is a wasteful number, since it uses less digits than its factorization.

289374120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4286 (or 4270 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 289374120 is about 17010.9999706073. Note that the first 4 decimals coincide. The cubic root of 289374120 is about 661.4340718228.

The spelling of 289374120 in words is "two hundred eighty-nine million, three hundred seventy-four thousand, one hundred twenty".