54197200 has 120 divisors (see below), whose sum is σ = 140044608. Its totient is φ = 20106240.

The previous prime is 54197197. The next prime is 54197279. The reversal of 54197200 is 279145.

It is a happy number.

54197200 is nontrivially palindromic in base 7.

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, 395532 + ... + 395668.

Almost surely, 2^54197200 is an apocalyptic number.

54197200 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 54197200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70022304).

54197200 is an abundant number, since it is smaller than the sum of its proper divisors (85847408).

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

54197200 is a wasteful number, since it uses less digits than its factorization.

54197200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 28.

The square root of 54197200 is about 7361.8747612276. The cubic root of 54197200 is about 378.4358605261.

The spelling of 54197200 in words is "fifty-four million, one hundred ninety-seven thousand, two hundred".