289292640 has 384 divisors, whose sum is σ = 1158312960. Its totient is φ = 59056128.

The previous prime is 289292623. The next prime is 289292657. The reversal of 289292640 is 46292982.

It is an interprime number because it is at equal distance from previous prime (289292623) and next prime (289292657).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 289292592 and 289292601.

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 63 ways as a sum of consecutive naturals, for example, 1616071 + ... + 1616249.

It is an arithmetic number, because the mean of its divisors is an integer number (3016440).

Almost surely, 2^289292640 is an apocalyptic number.

289292640 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 289292640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579156480).

289292640 is an abundant number, since it is smaller than the sum of its proper divisors (869020320).

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

289292640 is a wasteful number, since it uses less digits than its factorization.

289292640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 289292640 is about 17008.6048810595. The cubic root of 289292640 is about 661.3719852901.

The spelling of 289292640 in words is "two hundred eighty-nine million, two hundred ninety-two thousand, six hundred forty".