4260093408 has 144 divisors (see below), whose sum is σ = 12548390400. Its totient is φ = 1369509120.

The previous prime is 4260093403. The next prime is 4260093451. The reversal of 4260093408 is 8043900624.

It is a happy number.

4260093408 is a `hidden beast` number, since 4 + 2 + 600 + 9 + 3 + 40 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4260093403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3383083 + ... + 3384341.

It is an arithmetic number, because the mean of its divisors is an integer number (87141600).

Almost surely, 2^4260093408 is an apocalyptic number.

4260093408 is a gapful number since it is divisible by the number (48) 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 4260093408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6274195200).

4260093408 is an abundant number, since it is smaller than the sum of its proper divisors (8288296992).

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

4260093408 is a wasteful number, since it uses less digits than its factorization.

4260093408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1685 (or 1674 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 4260093408 is about 65269.3910497103. The cubic root of 4260093408 is about 1621.0871897430.

The spelling of 4260093408 in words is "four billion, two hundred sixty million, ninety-three thousand, four hundred eight".