4254450200 has 384 divisors, whose sum is σ = 13499136000. Its totient is φ = 1204070400.

The previous prime is 4254450173. The next prime is 4254450223. The reversal of 4254450200 is 20544524.

4254450200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 4254450200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15815666 + ... + 15815934.

It is an arithmetic number, because the mean of its divisors is an integer number (35154000).

Almost surely, 2^4254450200 is an apocalyptic number.

4254450200 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 4254450200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6749568000).

4254450200 is an abundant number, since it is smaller than the sum of its proper divisors (9244685800).

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

4254450200 is a wasteful number, since it uses less digits than its factorization.

4254450200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 26.

The square root of 4254450200 is about 65226.1465978177. The cubic root of 4254450200 is about 1620.3710728485.

Adding to 4254450200 its reverse (20544524), we get a palindrome (4274994724).

It can be divided in two parts, 4254 and 450200, that added together give a palindrome (454454).

The spelling of 4254450200 in words is "four billion, two hundred fifty-four million, four hundred fifty thousand, two hundred".