5730404400 has 480 divisors, whose sum is σ = 23482227200. Its totient is φ = 1300147200.

The previous prime is 5730404369. The next prime is 5730404423. The reversal of 5730404400 is 44040375.

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

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 95 ways as a sum of consecutive naturals, for example, 17312235 + ... + 17312565.

Almost surely, 2^5730404400 is an apocalyptic number.

5730404400 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 5730404400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11741113600).

5730404400 is an abundant number, since it is smaller than the sum of its proper divisors (17751822800).

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

5730404400 is a wasteful number, since it uses less digits than its factorization.

5730404400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594 (or 577 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 5730404400 is about 75699.4346081924. The cubic root of 5730404400 is about 1789.4864896127.

Adding to 5730404400 its reverse (44040375), we get a palindrome (5774444775).

The spelling of 5730404400 in words is "five billion, seven hundred thirty million, four hundred four thousand, four hundred".