54942300 has 432 divisors, whose sum is σ = 227485440. Its totient is φ = 11197440.

The previous prime is 54942287. The next prime is 54942301. The reversal of 54942300 is 324945.

54942300 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 (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54942301) 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 143 ways as a sum of consecutive naturals, for example, 2891691 + ... + 2891709.

Almost surely, 2^54942300 is an apocalyptic number.

54942300 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 54942300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113742720).

54942300 is an abundant number, since it is smaller than the sum of its proper divisors (172543140).

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

54942300 is a wasteful number, since it uses less digits than its factorization.

54942300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 54942300 is about 7412.3073330779. The cubic root of 54942300 is about 380.1622114483.

It can be divided in two parts, 549 and 42300, that added together give a square (42849 = 207²).

The spelling of 54942300 in words is "fifty-four million, nine hundred forty-two thousand, three hundred".