4600908900 has 729 divisors, whose sum is σ = 18807942699. Its totient is φ = 937681920.

The previous prime is 4600908869. The next prime is 4600908901. The reversal of 4600908900 is 98090064.

The square root of 4600908900 is 67830.

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

It can be written as a sum of positive squares in 4 ways, for example, as 107619876 + 4493289024 = 10374^2 + 67032^2 .

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 (4600908901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 242153091 + ... + 242153109.

Almost surely, 2^4600908900 is an apocalyptic number.

4600908900 is the 67830-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4600908900

4600908900 is an abundant number, since it is smaller than the sum of its proper divisors (14207033799).

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

4600908900 is a wasteful number, since it uses less digits than its factorization.

4600908900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The cubic root of 4600908900 is about 1663.2130274802.

Multiplying 4600908900 by its sum of digits (36), we get a square (165632720400 = 406980²).

4600908900 divided by its sum of digits (36) gives a square (127803025 = 11305²).

Adding to 4600908900 its reverse (98090064), we get a palindrome (4698998964).

The spelling of 4600908900 in words is "four billion, six hundred million, nine hundred eight thousand, nine hundred".