5192294400 has 420 divisors, whose sum is σ = 19296126762. Its totient is φ = 1380188160.

The previous prime is 5192294399. The next prime is 5192294417. The reversal of 5192294400 is 44922915.

5192294400 is a `hidden beast` number, since 5 + 192 + 29 + 440 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 2070614016 + 3121680384 = 45504^2 + 55872^2 .

It is a super-2 number, since 2×5192294400² = 53919842272542720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 29 ways as a sum of consecutive naturals, for example, 16588644 + ... + 16588956.

Almost surely, 2^5192294400 is an apocalyptic number.

5192294400 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 5192294400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9648063381).

5192294400 is an abundant number, since it is smaller than the sum of its proper divisors (14103832362).

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

5192294400 is an equidigital number, since it uses as much as digits as its factorization.

5192294400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 5192294400 is about 72057.5769784136. The cubic root of 5192294400 is about 1731.6220322432.

The spelling of 5192294400 in words is "five billion, one hundred ninety-two million, two hundred ninety-four thousand, four hundred".