4504100400 has 180 divisors, whose sum is σ = 15744678040. Its totient is φ = 1192320000.

The previous prime is 4504100389. The next prime is 4504100429. The reversal of 4504100400 is 40014054.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 495900 + ... + 504900.

Almost surely, 2^4504100400 is an apocalyptic number.

4504100400 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 4504100400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7872339020).

4504100400 is an abundant number, since it is smaller than the sum of its proper divisors (11240577640).

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

4504100400 is a wasteful number, since it uses less digits than its factorization.

4504100400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9164 (or 9150 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 4504100400 is about 67112.5949431252. The cubic root of 4504100400 is about 1651.4649249013.

Adding to 4504100400 its reverse (40014054), we get a palindrome (4544114454).

The spelling of 4504100400 in words is "four billion, five hundred four million, one hundred thousand, four hundred".