289445376 has 160 divisors (see below), whose sum is σ = 865801728. Its totient is φ = 85155840.

The previous prime is 289445371. The next prime is 289445393. The reversal of 289445376 is 673544982.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (289445371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 624921 + ... + 625383.

Almost surely, 2^289445376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 289445376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432900864).

289445376 is an abundant number, since it is smaller than the sum of its proper divisors (576356352).

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

289445376 is a wasteful number, since it uses less digits than its factorization.

289445376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532 (or 516 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 48.

The square root of 289445376 is about 17013.0942511937. The cubic root of 289445376 is about 661.4883582694.

The spelling of 289445376 in words is "two hundred eighty-nine million, four hundred forty-five thousand, three hundred seventy-six".