54456300 has 162 divisors, whose sum is σ = 179381748. Its totient is φ = 14346720.

The previous prime is 54456293. The next prime is 54456317. The reversal of 54456300 is 365445.

It is a tau number, because it is divible by the number of its divisors (162).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 656059 + ... + 656141.

Almost surely, 2^54456300 is an apocalyptic number.

54456300 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 54456300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89690874).

54456300 is an abundant number, since it is smaller than the sum of its proper divisors (124925448).

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

54456300 is an equidigital number, since it uses as much as digits as its factorization.

54456300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 54456300 is about 7379.4511991069. The cubic root of 54456300 is about 379.0379635370.

It can be divided in two parts, 54456 and 300, that added together give a square (54756 = 234²).

The spelling of 54456300 in words is "fifty-four million, four hundred fifty-six thousand, three hundred".