45090000 has 200 divisors, whose sum is σ = 162697920. Its totient is φ = 11952000.

The previous prime is 45089977. The next prime is 45090029. The reversal of 45090000 is 9054.

It is a tau number, because it is divible by the number of its divisors (200).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 269917 + ... + 270083.

Almost surely, 2^45090000 is an apocalyptic number.

45090000 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 45090000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81348960).

45090000 is an abundant number, since it is smaller than the sum of its proper divisors (117607920).

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

45090000 is a wasteful number, since it uses less digits than its factorization.

45090000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 177 counting only the distinct ones).

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

The square root of 45090000 is about 6714.9087856798. The cubic root of 45090000 is about 355.9262987606.

Adding to 45090000 its reverse (9054), we get a palindrome (45099054).

The spelling of 45090000 in words is "forty-five million, ninety thousand".