5406442200 has 240 divisors, whose sum is σ = 19088688960. Its totient is φ = 1417824000.

The previous prime is 5406442177. The next prime is 5406442207. The reversal of 5406442200 is 22446045.

5406442200 is a `hidden beast` number, since 540 + 64 + 42 + 20 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5406442207) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 985465 + ... + 990935.

It is an arithmetic number, because the mean of its divisors is an integer number (79536204).

Almost surely, 2^5406442200 is an apocalyptic number.

5406442200 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 5406442200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9544344480).

5406442200 is an abundant number, since it is smaller than the sum of its proper divisors (13682246760).

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

5406442200 is a wasteful number, since it uses less digits than its factorization.

5406442200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5560 (or 5542 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 5406442200 is about 73528.5128368581. The cubic root of 5406442200 is about 1755.1080363034.

Adding to 5406442200 its reverse (22446045), we get a palindrome (5428888245).

The spelling of 5406442200 in words is "five billion, four hundred six million, four hundred forty-two thousand, two hundred".