45005000 has 40 divisors (see below), whose sum is σ = 105458430. Its totient is φ = 18000000.

The previous prime is 45004979. The next prime is 45005017. The reversal of 45005000 is 50054.

45005000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 5 ways, for example, as 195364 + 44809636 = 442^2 + 6694^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

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 9 ways as a sum of consecutive naturals, for example, 500 + ... + 9500.

Almost surely, 2^45005000 is an apocalyptic number.

45005000 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 45005000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52729215).

45005000 is an abundant number, since it is smaller than the sum of its proper divisors (60453430).

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

45005000 is an equidigital number, since it uses as much as digits as its factorization.

45005000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9027 (or 9008 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 14.

The square root of 45005000 is about 6708.5766001440. The cubic root of 45005000 is about 355.7025036400.

Adding to 45005000 its reverse (50054), we get a palindrome (45055054).

The spelling of 45005000 in words is "forty-five million, five thousand".