4759902252 has 192 divisors, whose sum is σ = 14547456000. Its totient is φ = 1317752064.

The previous prime is 4759902247. The next prime is 4759902253. The reversal of 4759902252 is 2522099574.

4759902252 is a `hidden beast` number, since 4 + 7 + 599 + 0 + 2 + 2 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 4759902198 and 4759902207.

It is not an unprimeable number, because it can be changed into a prime (4759902253) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3872374 + ... + 3873602.

It is an arithmetic number, because the mean of its divisors is an integer number (75768000).

Almost surely, 2^4759902252 is an apocalyptic number.

4759902252 is a gapful number since it is divisible by the number (42) 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 4759902252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7273728000).

4759902252 is an abundant number, since it is smaller than the sum of its proper divisors (9787553748).

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

4759902252 is a wasteful number, since it uses less digits than its factorization.

4759902252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1405 (or 1397 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The square root of 4759902252 is about 68992.0448457646. The cubic root of 4759902252 is about 1682.1550023685.

The spelling of 4759902252 in words is "four billion, seven hundred fifty-nine million, nine hundred two thousand, two hundred fifty-two".