45754200 has 192 divisors, whose sum is σ = 162564000. Its totient is φ = 11819520.

The previous prime is 45754169. The next prime is 45754201. The reversal of 45754200 is 245754.

45754200 is a `hidden beast` number, since 457 + 5 + 4 + 200 = 666.

45754200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45754201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 199686 + ... + 199914.

Almost surely, 2^45754200 is an apocalyptic number.

45754200 is a gapful number since it is divisible by the number (40) 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 45754200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81282000).

45754200 is an abundant number, since it is smaller than the sum of its proper divisors (116809800).

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

45754200 is a wasteful number, since it uses less digits than its factorization.

45754200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 27.

The square root of 45754200 is about 6764.1850950429. The cubic root of 45754200 is about 357.6654490359.

Adding to 45754200 its reverse (245754), we get a palindrome (45999954).

It can be divided in two parts, 45754 and 200, that added together give a palindrome (45954).

The spelling of 45754200 in words is "forty-five million, seven hundred fifty-four thousand, two hundred".