54657200 has 120 divisors (see below), whose sum is σ = 147886368. Its totient is φ = 19261440.

The previous prime is 54657191. The next prime is 54657203. The reversal of 54657200 is 275645.

It is not an unprimeable number, because it can be changed into a prime (54657203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 119372 + ... + 119828.

Almost surely, 2^54657200 is an apocalyptic number.

54657200 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 54657200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73943184).

54657200 is an abundant number, since it is smaller than the sum of its proper divisors (93229168).

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

54657200 is a wasteful number, since it uses less digits than its factorization.

54657200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 29.

The square root of 54657200 is about 7393.0507911146. The cubic root of 54657200 is about 379.5035067083.

The spelling of 54657200 in words is "fifty-four million, six hundred fifty-seven thousand, two hundred".