289797120 has 264 divisors, whose sum is σ = 1060182240. Its totient is φ = 72990720.

The previous prime is 289797107. The next prime is 289797127. The reversal of 289797120 is 21797982.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (289797127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 875355 + ... + 875685.

Almost surely, 2^289797120 is an apocalyptic number.

289797120 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 289797120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530091120).

289797120 is an abundant number, since it is smaller than the sum of its proper divisors (770385120).

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

289797120 is a wasteful number, since it uses less digits than its factorization.

289797120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The square root of 289797120 is about 17023.4285618379. The cubic root of 289797120 is about 661.7562042864.

The spelling of 289797120 in words is "two hundred eighty-nine million, seven hundred ninety-seven thousand, one hundred twenty".