4540064400 has 135 divisors (see below), whose sum is σ = 15769326729. Its totient is φ = 1209605760.

The previous prime is 4540064327. The next prime is 4540064401. The reversal of 4540064400 is 44600454.

The square root of 4540064400 is 67380.

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., 1634423184 + 2905641216 = 40428^2 + 53904^2 .

It is a super-2 number, since 2×4540064400² = 41224369512294720000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4540064401) 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, 4042239 + ... + 4043361.

Almost surely, 2^4540064400 is an apocalyptic number.

4540064400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

4540064400 is the 67380-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4540064400

4540064400 is an abundant number, since it is smaller than the sum of its proper divisors (11229262329).

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

4540064400 is a wasteful number, since it uses less digits than its factorization.

4540064400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2270 (or 1133 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The cubic root of 4540064400 is about 1655.8487749605.

Adding to 4540064400 its reverse (44600454), we get a palindrome (4584664854).

The spelling of 4540064400 in words is "four billion, five hundred forty million, sixty-four thousand, four hundred".