45918000 has 120 divisors (see below), whose sum is σ = 160439136. Its totient is φ = 12240000.

The previous prime is 45917987. The next prime is 45918017. The reversal of 45918000 is 81954.

45918000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16725 + ... + 19275.

Almost surely, 2^45918000 is an apocalyptic number.

45918000 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 45918000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80219568).

45918000 is an abundant number, since it is smaller than the sum of its proper divisors (114521136).

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

45918000 is a wasteful number, since it uses less digits than its factorization.

45918000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2580 (or 2561 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 45918000 is about 6776.2821664981. The cubic root of 45918000 is about 358.0917547239.

Adding to 45918000 its reverse (81954), we get a palindrome (45999954).

The spelling of 45918000 in words is "forty-five million, nine hundred eighteen thousand".