4760905240 has 512 divisors, whose sum is σ = 15037747200. Its totient is φ = 1313832960.

The previous prime is 4760905207. The next prime is 4760905249. The reversal of 4760905240 is 425090674.

It is a self number, because there is not a number n which added to its sum of digits gives 4760905240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4760905249) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 65217844 + ... + 65217916.

It is an arithmetic number, because the mean of its divisors is an integer number (29370600).

Almost surely, 2^4760905240 is an apocalyptic number.

4760905240 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 4760905240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7518873600).

4760905240 is an abundant number, since it is smaller than the sum of its proper divisors (10276841960).

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

4760905240 is a wasteful number, since it uses less digits than its factorization.

4760905240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 37.

The square root of 4760905240 is about 68999.3133299166. The cubic root of 4760905240 is about 1682.2731464466.

The spelling of 4760905240 in words is "four billion, seven hundred sixty million, nine hundred five thousand, two hundred forty".