5446124200 has 96 divisors (see below), whose sum is σ = 13841033760. Its totient is φ = 1976441600.

The previous prime is 5446124191. The next prime is 5446124213. The reversal of 5446124200 is 24216445.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1236402 + ... + 1240798.

It is an arithmetic number, because the mean of its divisors is an integer number (144177435).

Almost surely, 2^5446124200 is an apocalyptic number.

5446124200 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 5446124200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6920516880).

5446124200 is an abundant number, since it is smaller than the sum of its proper divisors (8394909560).

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

5446124200 is a wasteful number, since it uses less digits than its factorization.

5446124200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4987 (or 4978 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

The square root of 5446124200 is about 73797.8604025889. The cubic root of 5446124200 is about 1759.3915984224.

The spelling of 5446124200 in words is "five billion, four hundred forty-six million, one hundred twenty-four thousand, two hundred".