4761800460 has 120 divisors (see below), whose sum is σ = 14987265216. Its totient is φ = 1265621760.

The previous prime is 4761800443. The next prime is 4761800467. The reversal of 4761800460 is 640081674.

4761800460 is a `hidden beast` number, since 476 + 180 + 0 + 4 + 6 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (4761800467) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 502365 + ... + 511755.

Almost surely, 2^4761800460 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4761800460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7493632608).

4761800460 is an abundant number, since it is smaller than the sum of its proper divisors (10225464756).

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

4761800460 is a wasteful number, since it uses less digits than its factorization.

4761800460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9725 (or 9714 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 4761800460 is about 69005.8001909984. The cubic root of 4761800460 is about 1682.3785822903.

The spelling of 4761800460 in words is "four billion, seven hundred sixty-one million, eight hundred thousand, four hundred sixty".