5229050400 has 648 divisors, whose sum is σ = 22447938240. Its totient is φ = 1121771520.

The previous prime is 5229050399. The next prime is 5229050413. The reversal of 5229050400 is 40509225.

5229050400 is a `hidden beast` number, since 522 + 90 + 50 + 4 + 0 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 14565421 + ... + 14565779.

It is an arithmetic number, because the mean of its divisors is an integer number (34641880).

Almost surely, 2^5229050400 is an apocalyptic number.

5229050400 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 5229050400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11223969120).

5229050400 is an abundant number, since it is smaller than the sum of its proper divisors (17218887840).

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

5229050400 is a wasteful number, since it uses less digits than its factorization.

5229050400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 5229050400 is about 72312.1732490457. The cubic root of 5229050400 is about 1735.6984511660.

Adding to 5229050400 its reverse (40509225), we get a palindrome (5269559625).

The spelling of 5229050400 in words is "five billion, two hundred twenty-nine million, fifty thousand, four hundred".