45009000 has 128 divisors (see below), whose sum is σ = 156124800. Its totient is φ = 11995200.

The previous prime is 45008989. The next prime is 45009001. The reversal of 45009000 is 90054.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (45009001) 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, 26167 + ... + 27833.

It is an arithmetic number, because the mean of its divisors is an integer number (1219725).

Almost surely, 2^45009000 is an apocalyptic number.

45009000 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 45009000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78062400).

45009000 is an abundant number, since it is smaller than the sum of its proper divisors (111115800).

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

45009000 is a wasteful number, since it uses less digits than its factorization.

45009000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1697 (or 1677 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 45009000 is about 6708.8747193550. The cubic root of 45009000 is about 355.7130414904.

Adding to 45009000 its reverse (90054), we get a palindrome (45099054).

The spelling of 45009000 in words is "forty-five million, nine thousand".