5245094400 has 960 divisors, whose sum is σ = 22731878400. Its totient is φ = 1035141120.

The previous prime is 5245094341. The next prime is 5245094411. The reversal of 5245094400 is 44905425.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×5245094400² = 55022030529822720000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 66393561 + ... + 66393639.

It is an arithmetic number, because the mean of its divisors is an integer number (23679040).

Almost surely, 2^5245094400 is an apocalyptic number.

5245094400 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 5245094400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11365939200).

5245094400 is an abundant number, since it is smaller than the sum of its proper divisors (17486784000).

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

5245094400 is a wasteful number, since it uses less digits than its factorization.

5245094400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 5245094400 is about 72423.0239633778. The cubic root of 5245094400 is about 1737.4718205322.

Adding to 5245094400 its reverse (44905425), we get a palindrome (5289999825).

The spelling of 5245094400 in words is "five billion, two hundred forty-five million, ninety-four thousand, four hundred".