55335400 has 48 divisors (see below), whose sum is σ = 129193740. Its totient is φ = 22041600.

The previous prime is 55335389. The next prime is 55335407. The reversal of 55335400 is 453355.

It is a happy number.

55335400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 8631844 + 46703556 = 2938^2 + 6834^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (55335407) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 66990 + ... + 67810.

Almost surely, 2^55335400 is an apocalyptic number.

55335400 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 55335400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64596870).

55335400 is an abundant number, since it is smaller than the sum of its proper divisors (73858340).

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

55335400 is a wasteful number, since it uses less digits than its factorization.

55335400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1174 (or 1165 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 25.

The square root of 55335400 is about 7438.7767811650. The cubic root of 55335400 is about 381.0667165242.

Adding to 55335400 its reverse (453355), we get a palindrome (55788755).

It can be divided in two parts, 553 and 35400, that added together give a palindrome (35953).

The spelling of 55335400 in words is "fifty-five million, three hundred thirty-five thousand, four hundred".