45345300 has 288 divisors, whose sum is σ = 177321984. Its totient is φ = 8640000.

The previous prime is 45345277. The next prime is 45345301. The reversal of 45345300 is 354354.

It is a happy number.

45345300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×45345300⁴ (a number of 32 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45345301) 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 95 ways as a sum of consecutive naturals, for example, 300225 + ... + 300375.

Almost surely, 2^45345300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45345300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88660992).

45345300 is an abundant number, since it is smaller than the sum of its proper divisors (131976684).

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

45345300 is a wasteful number, since it uses less digits than its factorization.

45345300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 24.

The square root of 45345300 is about 6733.8918910241. The cubic root of 45345300 is about 356.5967875833.

Adding to 45345300 its reverse (354354), we get a palindrome (45699654).

It can be divided in two parts, 453 and 45300, that multiplied together give a square (20520900 = 4530²).

The spelling of 45345300 in words is "forty-five million, three hundred forty-five thousand, three hundred".