289740 has 48 divisors (see below), whose sum is σ = 887040. Its totient is φ = 70080.

The previous prime is 289733. The next prime is 289741. The reversal of 289740 is 47982.

289740 = T₂₂₄ + T₂₂₅ + ... + T₂₃₄.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an Ulam number.

It is a plaindrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 289698 and 289707.

It is not an unprimeable number, because it can be changed into a prime (289741) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 441 + ... + 879.

It is an arithmetic number, because the mean of its divisors is an integer number (18480).

2²⁸⁹⁷⁴⁰ is an apocalyptic number.

289740 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 289740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443520).

289740 is an abundant number, since it is smaller than the sum of its proper divisors (597300).

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

289740 is a wasteful number, since it uses less digits than its factorization.

289740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 289740 is about 538.2750226418. The cubic root of 289740 is about 66.1712723295.

The spelling of 289740 in words is "two hundred eighty-nine thousand, seven hundred forty".