45752800 has 36 divisors (see below), whose sum is σ = 111695976. Its totient is φ = 18300800.

The previous prime is 45752747. The next prime is 45752801. The reversal of 45752800 is 825754.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45752801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 27796 + ... + 29395.

It is an arithmetic number, because the mean of its divisors is an integer number (3102666).

Almost surely, 2^45752800 is an apocalyptic number.

45752800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45752800 is an abundant number, since it is smaller than the sum of its proper divisors (65943176).

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

45752800 is a wasteful number, since it uses less digits than its factorization.

45752800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57211 (or 57198 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 31.

The square root of 45752800 is about 6764.0816080234. The cubic root of 45752800 is about 357.6618010157.

The spelling of 45752800 in words is "forty-five million, seven hundred fifty-two thousand, eight hundred".