289125040 has 40 divisors (see below), whose sum is σ = 675144288. Its totient is φ = 115146240.

The previous prime is 289125037. The next prime is 289125043. The reversal of 289125040 is 40521982.

289125040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (289125037) and next prime (289125043).

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 289124993 and 289125011.

It is not an unprimeable number, because it can be changed into a prime (289125043) 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, 10885 + ... + 26395.

Almost surely, 2^289125040 is an apocalyptic number.

289125040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

289125040 is an abundant number, since it is smaller than the sum of its proper divisors (386019248).

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

289125040 is a wasteful number, since it uses less digits than its factorization.

289125040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15757 (or 15751 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

The square root of 289125040 is about 17003.6772493482. The cubic root of 289125040 is about 661.2442399528.

The spelling of 289125040 in words is "two hundred eighty-nine million, one hundred twenty-five thousand, forty".