4762984500 has 144 divisors (see below), whose sum is σ = 15054858000. Its totient is φ = 1267660800.

The previous prime is 4762984487. The next prime is 4762984529. The reversal of 4762984500 is 54892674.

It is a happy number.

4762984500 is a `hidden beast` number, since 4 + 7 + 62 + 9 + 84 + 500 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 965220624 + 3797763876 = 31068^2 + 61626^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4539976 + ... + 4541024.

It is an arithmetic number, because the mean of its divisors is an integer number (104547625).

Almost surely, 2^4762984500 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 4762984500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7527429000).

4762984500 is an abundant number, since it is smaller than the sum of its proper divisors (10291873500).

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

4762984500 is a wasteful number, since it uses less digits than its factorization.

4762984500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2083 (or 2068 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 4762984500 is about 69014.3789365665. The cubic root of 4762984500 is about 1682.5180140360.

The spelling of 4762984500 in words is "four billion, seven hundred sixty-two million, nine hundred eighty-four thousand, five hundred".