54230800 has 60 divisors (see below), whose sum is σ = 140325220. Its totient is φ = 20021760.

The previous prime is 54230797. The next prime is 54230801. The reversal of 54230800 is 803245.

It can be written as a sum of positive squares in 6 ways, for example, as 2304 + 54228496 = 48^2 + 7364^2 .

It is not an unprimeable number, because it can be changed into a prime (54230801) 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, 15 + ... + 10414.

Almost surely, 2^54230800 is an apocalyptic number.

54230800 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 54230800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70162610).

54230800 is an abundant number, since it is smaller than the sum of its proper divisors (86094420).

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

54230800 is a wasteful number, since it uses less digits than its factorization.

54230800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10460 (or 10449 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 54230800 is about 7364.1564350576. The cubic root of 54230800 is about 378.5140491787.

The spelling of 54230800 in words is "fifty-four million, two hundred thirty thousand, eight hundred".