4504350400 has 168 divisors, whose sum is σ = 12419691696. Its totient is φ = 1593446400.

The previous prime is 4504350397. The next prime is 4504350407. The reversal of 4504350400 is 40534054.

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

It is not an unprimeable number, because it can be changed into a prime (4504350407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 647742 + ... + 654658.

Almost surely, 2^4504350400 is an apocalyptic number.

4504350400 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 4504350400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6209845848).

4504350400 is an abundant number, since it is smaller than the sum of its proper divisors (7915341296).

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

4504350400 is a wasteful number, since it uses less digits than its factorization.

4504350400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6987 (or 6972 counting only the distinct ones).

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

The square root of 4504350400 is about 67114.4574588814. The cubic root of 4504350400 is about 1651.4954791783.

Adding to 4504350400 its reverse (40534054), we get a palindrome (4544884454).

The spelling of 4504350400 in words is "four billion, five hundred four million, three hundred fifty thousand, four hundred".