45535504 has 45 divisors (see below), whose sum is σ = 103056741. Its totient is φ = 19434240.

The previous prime is 45535499. The next prime is 45535507. The reversal of 45535504 is 40553554.

The square root of 45535504 is 6748.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 34245904 + 11289600 = 5852^2 + 3360^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (45535507) 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 8 ways as a sum of consecutive naturals, for example, 188824 + ... + 189064.

Almost surely, 2^45535504 is an apocalyptic number.

45535504 is the 6748-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45535504

45535504 is an abundant number, since it is smaller than the sum of its proper divisors (57521237).

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

45535504 is an equidigital number, since it uses as much as digits as its factorization.

45535504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 30000, while the sum is 31.

The cubic root of 45535504 is about 357.0946820505.

It can be divided in two parts, 4553550 and 4, that added together give a palindrome (4553554).

The spelling of 45535504 in words is "forty-five million, five hundred thirty-five thousand, five hundred four".