45045504 has 288 divisors, whose sum is σ = 163520000. Its totient is φ = 12192768.

The previous prime is 45045493. The next prime is 45045509. The reversal of 45045504 is 40554054.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×45045504² = 4058194861228032, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45045509) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2370807 + ... + 2370825.

Almost surely, 2^45045504 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 45045504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81760000).

45045504 is an abundant number, since it is smaller than the sum of its proper divisors (118474496).

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

45045504 is an equidigital number, since it uses as much as digits as its factorization.

45045504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 27.

The square root of 45045504 is about 6711.5947434272. The cubic root of 45045504 is about 355.8091810774.

Adding to 45045504 its reverse (40554054), we get a palindrome (85599558).

It can be divided in two parts, 450 and 45504, that multiplied together give a triangular number (20476800 = T₆₃₉₉).

The spelling of 45045504 in words is "forty-five million, forty-five thousand, five hundred four".