4674456900 has 243 divisors, whose sum is σ = 15288858039. Its totient is φ = 1194560640.

The previous prime is 4674456889. The next prime is 4674456907. The reversal of 4674456900 is 96544764.

The square root of 4674456900 is 68370.

It is a perfect power (a square), and thus also a powerful number.

4674456900 is a `hidden beast` number, since 46 + 7 + 44 + 569 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 35212356 + 4639244544 = 5934^2 + 68112^2 .

It is a super-2 number, since 2×4674456900² = 43701094619915220000, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (4674456907) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 88197274 + ... + 88197326.

Almost surely, 2^4674456900 is an apocalyptic number.

4674456900 is the 68370-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4674456900

4674456900 is an abundant number, since it is smaller than the sum of its proper divisors (10614401139).

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

4674456900 is a wasteful number, since it uses less digits than its factorization.

4674456900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The cubic root of 4674456900 is about 1672.0286699639.

The spelling of 4674456900 in words is "four billion, six hundred seventy-four million, four hundred fifty-six thousand, nine hundred".