54918000 has 240 divisors, whose sum is σ = 200674656. Its totient is φ = 14515200.

The previous prime is 54917977. The next prime is 54918011. The reversal of 54918000 is 81945.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 485944 + ... + 486056.

Almost surely, 2^54918000 is an apocalyptic number.

54918000 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 54918000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100337328).

54918000 is an abundant number, since it is smaller than the sum of its proper divisors (145756656).

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

54918000 is a wasteful number, since it uses less digits than its factorization.

54918000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 54918000 is about 7410.6679860860. The cubic root of 54918000 is about 380.1061568602.

Adding to 54918000 its reverse (81945), we get a palindrome (54999945).

The spelling of 54918000 in words is "fifty-four million, nine hundred eighteen thousand".