4640334400 has 189 divisors, whose sum is σ = 12459105003. Its totient is φ = 1700275200.

The previous prime is 4640334397. The next prime is 4640334407. The reversal of 4640334400 is 44330464.

The square root of 4640334400 is 68120.

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 1196053056 + 3444281344 = 34584^2 + 58688^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4640334407) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 35422335 + ... + 35422465.

Almost surely, 2^4640334400 is an apocalyptic number.

4640334400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

4640334400 is the 68120-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4640334400

4640334400 is an abundant number, since it is smaller than the sum of its proper divisors (7818770603).

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

4640334400 is a wasteful number, since it uses less digits than its factorization.

4640334400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

The cubic root of 4640334400 is about 1667.9502503052.

Adding to 4640334400 its reverse (44330464), we get a palindrome (4684664864).

The spelling of 4640334400 in words is "four billion, six hundred forty million, three hundred thirty-four thousand, four hundred".