4657243500 has 768 divisors, whose sum is σ = 19725189120. Its totient is φ = 920678400.

The previous prime is 4657243469. The next prime is 4657243519. The reversal of 4657243500 is 53427564.

4657243500 is a `hidden beast` number, since 46 + 5 + 72 + 43 + 500 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 20884389 + ... + 20884611.

It is an arithmetic number, because the mean of its divisors is an integer number (25683840).

Almost surely, 2^4657243500 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 4657243500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9862594560).

4657243500 is an abundant number, since it is smaller than the sum of its proper divisors (15067945620).

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

4657243500 is a wasteful number, since it uses less digits than its factorization.

4657243500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The square root of 4657243500 is about 68243.9997362405. Note that the first 3 decimals coincide. The cubic root of 4657243500 is about 1669.9737646326.

Adding to 4657243500 its sum of digits (36), we get a square (4657243536 = 68244²).

The spelling of 4657243500 in words is "four billion, six hundred fifty-seven million, two hundred forty-three thousand, five hundred".