55301400 has 576 divisors, whose sum is σ = 254448000. Its totient is φ = 10886400.

The previous prime is 55301399. The next prime is 55301413. The reversal of 55301400 is 410355.

55301400 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 (18).

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 143 ways as a sum of consecutive naturals, for example, 2910591 + ... + 2910609.

It is an arithmetic number, because the mean of its divisors is an integer number (441750).

Almost surely, 2^55301400 is an apocalyptic number.

55301400 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 55301400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127224000).

55301400 is an abundant number, since it is smaller than the sum of its proper divisors (199146600).

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

55301400 is a wasteful number, since it uses less digits than its factorization.

55301400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 55301400 is about 7436.4911080428. The cubic root of 55301400 is about 380.9886536394.

Adding to 55301400 its reverse (410355), we get a palindrome (55711755).

The spelling of 55301400 in words is "fifty-five million, three hundred one thousand, four hundred".