54052800 has 84 divisors (see below), whose sum is σ = 177353976. Its totient is φ = 14412800.

The previous prime is 54052787. The next prime is 54052807. The reversal of 54052800 is 825045.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 (54052807) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 831 + ... + 10430.

Almost surely, 2^54052800 is an apocalyptic number.

54052800 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 54052800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88676988).

54052800 is an abundant number, since it is smaller than the sum of its proper divisors (123301176).

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

54052800 is a wasteful number, since it uses less digits than its factorization.

54052800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11286 (or 11271 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 54052800 is about 7352.0609355473. The cubic root of 54052800 is about 378.0994671191.

Adding to 54052800 its reverse (825045), we get a palindrome (54877845).

The spelling of 54052800 in words is "fifty-four million, fifty-two thousand, eight hundred".