289774464 has 128 divisors (see below), whose sum is σ = 893356800. Its totient is φ = 81506304.

The previous prime is 289774427. The next prime is 289774483. The reversal of 289774464 is 464477982.

It is a happy number.

289774464 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 179292 + ... + 180900.

It is an arithmetic number, because the mean of its divisors is an integer number (6979350).

Almost surely, 2^289774464 is an apocalyptic number.

289774464 is a gapful number since it is divisible by the number (24) 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 289774464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446678400).

289774464 is an abundant number, since it is smaller than the sum of its proper divisors (603582336).

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

289774464 is a wasteful number, since it uses less digits than its factorization.

289774464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1700 (or 1688 counting only the distinct ones).

The product of its digits is 2709504, while the sum is 51.

The square root of 289774464 is about 17022.7631129614. The cubic root of 289774464 is about 661.7389587282.

The spelling of 289774464 in words is "two hundred eighty-nine million, seven hundred seventy-four thousand, four hundred sixty-four".