4689510400 has 135 divisors (see below), whose sum is σ = 11739334789. Its totient is φ = 1858273280.

The previous prime is 4689510317. The next prime is 4689510407. The reversal of 4689510400 is 40159864.

It is a happy number.

The square root of 4689510400 is 68480.

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

It can be written as a sum of positive squares in only one way, i.e., 1688223744 + 3001286656 = 41088^2 + 54784^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 4689510400.

It is not an unprimeable number, because it can be changed into a prime (4689510407) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 43827147 + ... + 43827253.

Almost surely, 2^4689510400 is an apocalyptic number.

4689510400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

4689510400 is the 68480-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4689510400

4689510400 is an abundant number, since it is smaller than the sum of its proper divisors (7049824389).

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

4689510400 is an frugal number, since it uses more digits than its factorization.

4689510400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The cubic root of 4689510400 is about 1673.8215993204.

The spelling of 4689510400 in words is "four billion, six hundred eighty-nine million, five hundred ten thousand, four hundred".