4288950240 has 48 divisors (see below), whose sum is σ = 13510194768. Its totient is φ = 1143719936.

The previous prime is 4288950227. The next prime is 4288950287. The reversal of 4288950240 is 420598824.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×4288950240² = 36790188322392115200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 4288950192 and 4288950201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4467177 + ... + 4468136.

It is an arithmetic number, because the mean of its divisors is an integer number (281462391).

Almost surely, 2^4288950240 is an apocalyptic number.

4288950240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4288950240 is an abundant number, since it is smaller than the sum of its proper divisors (9221244528).

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

4288950240 is a wasteful number, since it uses less digits than its factorization.

4288950240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8935331 (or 8935323 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The square root of 4288950240 is about 65490.0774163537. The cubic root of 4288950240 is about 1624.7392389473.

The spelling of 4288950240 in words is "four billion, two hundred eighty-eight million, nine hundred fifty thousand, two hundred forty".