54756300 has 72 divisors (see below), whose sum is σ = 162743056. Its totient is φ = 14204160.

The previous prime is 54756283. The next prime is 54756311. The reversal of 54756300 is 365745.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8634 + ... + 13566.

Almost surely, 2^54756300 is an apocalyptic number.

54756300 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 54756300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81371528).

54756300 is an abundant number, since it is smaller than the sum of its proper divisors (107986756).

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

54756300 is a wasteful number, since it uses less digits than its factorization.

54756300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4987 (or 4980 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 30.

The square root of 54756300 is about 7399.7499957769. The cubic root of 54756300 is about 379.7327298825.

The spelling of 54756300 in words is "fifty-four million, seven hundred fifty-six thousand, three hundred".