54895200 has 144 divisors (see below), whose sum is σ = 181394640. Its totient is φ = 14417920.

The previous prime is 54895171. The next prime is 54895249. The reversal of 54895200 is 259845.

It is a congruent number.

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, 213472 + ... + 213728.

It is an arithmetic number, because the mean of its divisors is an integer number (1259685).

Almost surely, 2^54895200 is an apocalyptic number.

54895200 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 54895200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90697320).

54895200 is an abundant number, since it is smaller than the sum of its proper divisors (126499440).

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

54895200 is a wasteful number, since it uses less digits than its factorization.

54895200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The square root of 54895200 is about 7409.1295035247. The cubic root of 54895200 is about 380.0535473940.

The spelling of 54895200 in words is "fifty-four million, eight hundred ninety-five thousand, two hundred".