5450400200 has 96 divisors (see below), whose sum is σ = 14686738560. Its totient is φ = 1842355200.

The previous prime is 5450400187. The next prime is 5450400217. The reversal of 5450400200 is 20040545.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71984 + ... + 126816.

It is an arithmetic number, because the mean of its divisors is an integer number (152986860).

Almost surely, 2^5450400200 is an apocalyptic number.

5450400200 is a gapful number since it is divisible by the number (50) 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 5450400200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7343369280).

5450400200 is an abundant number, since it is smaller than the sum of its proper divisors (9236338360).

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

5450400200 is a wasteful number, since it uses less digits than its factorization.

5450400200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54927 (or 54918 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 20.

The square root of 5450400200 is about 73826.8257478269. The cubic root of 5450400200 is about 1759.8519374411.

Adding to 5450400200 its reverse (20040545), we get a palindrome (5470440745).

The spelling of 5450400200 in words is "five billion, four hundred fifty million, four hundred thousand, two hundred".