45589500 has 192 divisors, whose sum is σ = 161441280. Its totient is φ = 11016000.

The previous prime is 45589471. The next prime is 45589541. The reversal of 45589500 is 598554.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 148347 + ... + 148653.

It is an arithmetic number, because the mean of its divisors is an integer number (840840).

Almost surely, 2^45589500 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45589500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80720640).

45589500 is an abundant number, since it is smaller than the sum of its proper divisors (115851780).

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

45589500 is a wasteful number, since it uses less digits than its factorization.

45589500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The square root of 45589500 is about 6751.9997037915. Note that the first 3 decimals coincide. The cubic root of 45589500 is about 357.2357739193.

The spelling of 45589500 in words is "forty-five million, five hundred eighty-nine thousand, five hundred".