53388900 has 108 divisors (see below), whose sum is σ = 168955332. Its totient is φ = 14100480.

The previous prime is 53388899. The next prime is 53388901. The reversal of 53388900 is 988335.

53388900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (53388899) and next prime (53388901).

It can be written as a sum of positive squares in 6 ways, for example, as 5280804 + 48108096 = 2298^2 + 6936^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53388901) 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 35 ways as a sum of consecutive naturals, for example, 123084 + ... + 123516.

Almost surely, 2^53388900 is an apocalyptic number.

53388900 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 53388900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84477666).

53388900 is an abundant number, since it is smaller than the sum of its proper divisors (115566432).

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

53388900 is a wasteful number, since it uses less digits than its factorization.

53388900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 53388900 is about 7306.7708325908. The cubic root of 53388900 is about 376.5450917671.

The spelling of 53388900 in words is "fifty-three million, three hundred eighty-eight thousand, nine hundred".