54753300 has 144 divisors (see below), whose sum is σ = 201237120. Its totient is φ = 12510720.

The previous prime is 54753287. The next prime is 54753301. The reversal of 54753300 is 335745.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54753301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17452 + ... + 20348.

It is an arithmetic number, because the mean of its divisors is an integer number (1397480).

Almost surely, 2^54753300 is an apocalyptic number.

54753300 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 54753300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100618560).

54753300 is an abundant number, since it is smaller than the sum of its proper divisors (146483820).

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

54753300 is a wasteful number, since it uses less digits than its factorization.

54753300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2927 (or 2914 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 27.

The square root of 54753300 is about 7399.5472834492. The cubic root of 54753300 is about 379.7257947962.

The spelling of 54753300 in words is "fifty-four million, seven hundred fifty-three thousand, three hundred".