45035700 has 72 divisors (see below), whose sum is σ = 137178720. Its totient is φ = 11376000.

The previous prime is 45035687. The next prime is 45035707. The reversal of 45035700 is 753054.

45035700 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45035707) 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, 1750 + ... + 9650.

It is an arithmetic number, because the mean of its divisors is an integer number (1905260).

Almost surely, 2^45035700 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 45035700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68589360).

45035700 is an abundant number, since it is smaller than the sum of its proper divisors (92143020).

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

45035700 is a wasteful number, since it uses less digits than its factorization.

45035700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7937 (or 7930 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 24.

The square root of 45035700 is about 6710.8643258525. The cubic root of 45035700 is about 355.7833656537.

Adding to 45035700 its reverse (753054), we get a palindrome (45788754).

The spelling of 45035700 in words is "forty-five million, thirty-five thousand, seven hundred".