289791040 has 224 divisors, whose sum is σ = 907084800. Its totient is φ = 85432320.

The previous prime is 289791001. The next prime is 289791041. The reversal of 289791040 is 40197982.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 289790984 and 289791002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (289791041) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 467851 + ... + 468469.

Almost surely, 2^289791040 is an apocalyptic number.

289791040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

289791040 is the 8512-nd decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 289791040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453542400).

289791040 is an abundant number, since it is smaller than the sum of its proper divisors (617293760).

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

289791040 is a wasteful number, since it uses less digits than its factorization.

289791040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 40.

The square root of 289791040 is about 17023.2499834785. The cubic root of 289791040 is about 661.7515763294.

The spelling of 289791040 in words is "two hundred eighty-nine million, seven hundred ninety-one thousand, forty".