54271800 has 144 divisors (see below), whose sum is σ = 198904680. Its totient is φ = 13152000.

The previous prime is 54271783. The next prime is 54271801. The reversal of 54271800 is 817245.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54271801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 18430 + ... + 21170.

Almost surely, 2^54271800 is an apocalyptic number.

54271800 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 54271800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99452340).

54271800 is an abundant number, since it is smaller than the sum of its proper divisors (144632880).

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

54271800 is a wasteful number, since it uses less digits than its factorization.

54271800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2774 (or 2762 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 54271800 is about 7366.9396631166. The cubic root of 54271800 is about 378.6094142155.

It can be divided in two parts, 5427 and 1800, that added together give a palindrome (7227).

The spelling of 54271800 in words is "fifty-four million, two hundred seventy-one thousand, eight hundred".