4523440400 has 60 divisors (see below), whose sum is σ = 10895053044. Its totient is φ = 1804800000.

The previous prime is 4523440367. The next prime is 4523440403. The reversal of 4523440400 is 40443254.

It can be written as a sum of positive squares in 6 ways, for example, as 357512464 + 4165927936 = 18908^2 + 64544^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 4523440400.

It is not an unprimeable number, because it can be changed into a prime (4523440403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 146300 + ... + 174500.

Almost surely, 2^4523440400 is an apocalyptic number.

4523440400 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 4523440400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5447526522).

4523440400 is an abundant number, since it is smaller than the sum of its proper divisors (6371612644).

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

4523440400 is a wasteful number, since it uses less digits than its factorization.

4523440400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28620 (or 28609 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 26.

The square root of 4523440400 is about 67256.5268208224. The cubic root of 4523440400 is about 1653.8252723744.

Adding to 4523440400 its reverse (40443254), we get a palindrome (4563883654).

The spelling of 4523440400 in words is "four billion, five hundred twenty-three million, four hundred forty thousand, four hundred".