45005120 has 56 divisors (see below), whose sum is σ = 113486184. Its totient is φ = 16941056.

The previous prime is 45005101. The next prime is 45005123. The reversal of 45005120 is 2150054.

It can be written as a sum of positive squares in 4 ways, for example, as 14622976 + 30382144 = 3824^2 + 5512^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45005123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1304 + ... + 9576.

It is an arithmetic number, because the mean of its divisors is an integer number (2026539).

Almost surely, 2^45005120 is an apocalyptic number.

45005120 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 45005120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56743092).

45005120 is an abundant number, since it is smaller than the sum of its proper divisors (68481064).

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

45005120 is a wasteful number, since it uses less digits than its factorization.

45005120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8307 (or 8297 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 17.

The square root of 45005120 is about 6708.5855439131. The cubic root of 45005120 is about 355.7028197846.

Adding to 45005120 its reverse (2150054), we get a palindrome (47155174).

It can be divided in two parts, 4500 and 5120, that multiplied together give a square (23040000 = 4800²).

The spelling of 45005120 in words is "forty-five million, five thousand, one hundred twenty".