45885000 has 320 divisors, whose sum is σ = 179942400. Its totient is φ = 9504000.

The previous prime is 45884983. The next prime is 45885001. The reversal of 45885000 is 58854.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45885001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1994989 + ... + 1995011.

It is an arithmetic number, because the mean of its divisors is an integer number (562320).

Almost surely, 2^45885000 is an apocalyptic number.

45885000 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 45885000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89971200).

45885000 is an abundant number, since it is smaller than the sum of its proper divisors (134057400).

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

45885000 is a wasteful number, since it uses less digits than its factorization.

45885000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 30.

The square root of 45885000 is about 6773.8467653173. The cubic root of 45885000 is about 358.0059506101.

It can be divided in two parts, 458 and 85000, that added together give a palindrome (85458).

The spelling of 45885000 in words is "forty-five million, eight hundred eighty-five thousand".