289544960 has 72 divisors (see below), whose sum is σ = 716021376. Its totient is φ = 112066560.

The previous prime is 289544951. The next prime is 289544963. The reversal of 289544960 is 69445982.

It is a super-2 number, since 2×289544960² = 167672567722803200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (289544963) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36032 + ... + 43328.

Almost surely, 2^289544960 is an apocalyptic number.

289544960 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 289544960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358010688).

289544960 is an abundant number, since it is smaller than the sum of its proper divisors (426476416).

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

289544960 is an equidigital number, since it uses as much as digits as its factorization.

289544960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7349 (or 7335 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 47.

The square root of 289544960 is about 17016.0206864002. The cubic root of 289544960 is about 661.5642115034.

The spelling of 289544960 in words is "two hundred eighty-nine million, five hundred forty-four thousand, nine hundred sixty".