4540210400 has 432 divisors, whose sum is σ = 13465388160. Its totient is φ = 1486848000.

The previous prime is 4540210361. The next prime is 4540210453. The reversal of 4540210400 is 40120454.

It is a super-2 number, since 2×4540210400² = 41227020952536320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 51013556 + ... + 51013644.

It is an arithmetic number, because the mean of its divisors is an integer number (31169880).

Almost surely, 2^4540210400 is an apocalyptic number.

4540210400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4540210400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6732694080).

4540210400 is an abundant number, since it is smaller than the sum of its proper divisors (8925177760).

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

4540210400 is a wasteful number, since it uses less digits than its factorization.

4540210400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 4540210400 is about 67381.0833988294. The cubic root of 4540210400 is about 1655.8665244392.

Adding to 4540210400 its reverse (40120454), we get a palindrome (4580330854).

The spelling of 4540210400 in words is "four billion, five hundred forty million, two hundred ten thousand, four hundred".