45003000 has 128 divisors (see below), whose sum is σ = 160542720. Its totient is φ = 10281600.

The previous prime is 45002999. The next prime is 45003011. The reversal of 45003000 is 30054.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19929 + ... + 22071.

It is an arithmetic number, because the mean of its divisors is an integer number (1254240).

Almost surely, 2^45003000 is an apocalyptic number.

45003000 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 45003000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80271360).

45003000 is an abundant number, since it is smaller than the sum of its proper divisors (115539720).

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

45003000 is a wasteful number, since it uses less digits than its factorization.

45003000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2174 (or 2160 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 12.

The square root of 45003000 is about 6708.4275355705. The cubic root of 45003000 is about 355.6972344807.

Adding to 45003000 its reverse (30054), we get a palindrome (45033054).

The spelling of 45003000 in words is "forty-five million, three thousand".