45887600 has 60 divisors (see below), whose sum is σ = 120278760. Its totient is φ = 16684800.

The previous prime is 45887591. The next prime is 45887669. The reversal of 45887600 is 678854.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 815 + ... + 9614.

It is an arithmetic number, because the mean of its divisors is an integer number (2004646).

Almost surely, 2^45887600 is an apocalyptic number.

45887600 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 45887600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60139380).

45887600 is an abundant number, since it is smaller than the sum of its proper divisors (74391160).

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

45887600 is a wasteful number, since it uses less digits than its factorization.

45887600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10458 (or 10447 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 38.

The square root of 45887600 is about 6774.0386771851. The cubic root of 45887600 is about 358.0127124269.

The spelling of 45887600 in words is "forty-five million, eight hundred eighty-seven thousand, six hundred".