53310400 has 168 divisors, whose sum is σ = 154771344. Its totient is φ = 17817600.

The previous prime is 53310337. The next prime is 53310427. The reversal of 53310400 is 401335.

53310400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

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, 228684 + ... + 228916.

It is an arithmetic number, because the mean of its divisors is an integer number (921258).

Almost surely, 2^53310400 is an apocalyptic number.

53310400 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 53310400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77385672).

53310400 is an abundant number, since it is smaller than the sum of its proper divisors (101460944).

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

53310400 is a wasteful number, since it uses less digits than its factorization.

53310400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 16.

The square root of 53310400 is about 7301.3971265779. The cubic root of 53310400 is about 376.3604510850.

Adding to 53310400 its reverse (401335), we get a palindrome (53711735).

The spelling of 53310400 in words is "fifty-three million, three hundred ten thousand, four hundred".