4607850240 has 540 divisors, whose sum is σ = 19200751416. Its totient is φ = 1052061696.

The previous prime is 4607850217. The next prime is 4607850253. The reversal of 4607850240 is 420587064.

4607850240 is a `hidden beast` number, since 4 + 607 + 8 + 5 + 0 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (540).

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

It is a junction number, because it is equal to n+sod(n) for n = 4607850195 and 4607850204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5079867 + ... + 5080773.

Almost surely, 2^4607850240 is an apocalyptic number.

4607850240 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 4607850240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9600375708).

4607850240 is an abundant number, since it is smaller than the sum of its proper divisors (14592901176).

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

4607850240 is an equidigital number, since it uses as much as digits as its factorization.

4607850240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 954 (or 924 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 4607850240 is about 67881.1478983672. The cubic root of 4607850240 is about 1664.0490308531.

The spelling of 4607850240 in words is "four billion, six hundred seven million, eight hundred fifty thousand, two hundred forty".