45052800 has 288 divisors, whose sum is σ = 168661080. Its totient is φ = 10506240.

The previous prime is 45052757. The next prime is 45052807. The reversal of 45052800 is 825054.

45052800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45052807) 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 35 ways as a sum of consecutive naturals, for example, 2371191 + ... + 2371209.

Almost surely, 2^45052800 is an apocalyptic number.

45052800 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 45052800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84330540).

45052800 is an abundant number, since it is smaller than the sum of its proper divisors (123608280).

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

45052800 is a wasteful number, since it uses less digits than its factorization.

45052800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 45052800 is about 6712.1382584092. The cubic root of 45052800 is about 355.8283901246.

Adding to 45052800 its reverse (825054), we get a palindrome (45877854).

The spelling of 45052800 in words is "forty-five million, fifty-two thousand, eight hundred".