4289040 has 240 divisors, whose sum is σ = 17641728. Its totient is φ = 912384.

The previous prime is 4289011. The next prime is 4289053. The reversal of 4289040 is 409824.

It is a Cunningham number, because it is equal to 2071²-1.

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 4288995 and 4289013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 115902 + ... + 115938.

Almost surely, 2^4289040 is an apocalyptic number.

4289040 is a gapful number since it is divisible by the number (40) 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 4289040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8820864).

4289040 is an abundant number, since it is smaller than the sum of its proper divisors (13352688).

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

4289040 is a wasteful number, since it uses less digits than its factorization.

4289040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 4289040 is about 2070.9997585707. Note that the first 3 decimals coincide. The cubic root of 4289040 is about 162.4750573156.

The spelling of 4289040 in words is "four million, two hundred eighty-nine thousand, forty".