45180600 has 96 divisors (see below), whose sum is σ = 141084720. Its totient is φ = 11960320.

The previous prime is 45180593. The next prime is 45180601. The reversal of 45180600 is 608154.

45180600 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 (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45180601) 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 23 ways as a sum of consecutive naturals, for example, 154054 + ... + 154346.

Almost surely, 2^45180600 is an apocalyptic number.

45180600 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 45180600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70542360).

45180600 is an abundant number, since it is smaller than the sum of its proper divisors (95904120).

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

45180600 is a wasteful number, since it uses less digits than its factorization.

45180600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 569 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 45180600 is about 6721.6515827585. The cubic root of 45180600 is about 356.1645285874.

Adding to 45180600 its reverse (608154), we get a palindrome (45788754).

The spelling of 45180600 in words is "forty-five million, one hundred eighty thousand, six hundred".