54254200 has 192 divisors, whose sum is σ = 169989120. Its totient is φ = 15552000.

The previous prime is 54254197. The next prime is 54254201. The reversal of 54254200 is 245245.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54254201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 200065 + ... + 200335.

It is an arithmetic number, because the mean of its divisors is an integer number (885360).

Almost surely, 2^54254200 is an apocalyptic number.

54254200 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 54254200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84994560).

54254200 is an abundant number, since it is smaller than the sum of its proper divisors (115734920).

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

54254200 is a wasteful number, since it uses less digits than its factorization.

54254200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 22.

The square root of 54254200 is about 7365.7450403880. The cubic root of 54254200 is about 378.5684829146.

Adding to 54254200 its reverse (245245), we get a palindrome (54499445).

It can be divided in two parts, 542 and 54200, that multiplied together give a square (29376400 = 5420²).

The spelling of 54254200 in words is "fifty-four million, two hundred fifty-four thousand, two hundred".