4508540400 has 960 divisors, whose sum is σ = 19528750080. Its totient is φ = 862617600.

The previous prime is 4508540389. The next prime is 4508540417. The reversal of 4508540400 is 40458054.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 85066774 + ... + 85066826.

It is an arithmetic number, because the mean of its divisors is an integer number (20342448).

Almost surely, 2^4508540400 is an apocalyptic number.

4508540400 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 4508540400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9764375040).

4508540400 is an abundant number, since it is smaller than the sum of its proper divisors (15020209680).

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

4508540400 is a wasteful number, since it uses less digits than its factorization.

4508540400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 30.

The square root of 4508540400 is about 67145.6655339717. The cubic root of 4508540400 is about 1652.0074006864.

Adding to 4508540400 its reverse (40458054), we get a palindrome (4548998454).

The spelling of 4508540400 in words is "four billion, five hundred eight million, five hundred forty thousand, four hundred".