4503522400 has 144 divisors (see below), whose sum is σ = 11915424864. Its totient is φ = 1652244480.

The previous prime is 4503522349. The next prime is 4503522407. The reversal of 4503522400 is 42253054.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4503522407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1735504 + ... + 1738096.

It is an arithmetic number, because the mean of its divisors is an integer number (82746006).

Almost surely, 2^4503522400 is an apocalyptic number.

4503522400 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 4503522400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5957712432).

4503522400 is an abundant number, since it is smaller than the sum of its proper divisors (7411902464).

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

4503522400 is a wasteful number, since it uses less digits than its factorization.

4503522400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2793 (or 2780 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 25.

The square root of 4503522400 is about 67108.2886087851. The cubic root of 4503522400 is about 1651.3942790841.

Adding to 4503522400 its reverse (42253054), we get a palindrome (4545775454).

The spelling of 4503522400 in words is "four billion, five hundred three million, five hundred twenty-two thousand, four hundred".