45887280 has 160 divisors (see below), whose sum is σ = 155347200. Its totient is φ = 11160576.

The previous prime is 45887279. The next prime is 45887287. The reversal of 45887280 is 8278854.

45887280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (45887287) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 132067 + ... + 132413.

It is an arithmetic number, because the mean of its divisors is an integer number (970920).

Almost surely, 2^45887280 is an apocalyptic number.

45887280 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 45887280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77673600).

45887280 is an abundant number, since it is smaller than the sum of its proper divisors (109459920).

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

45887280 is a wasteful number, since it uses less digits than its factorization.

45887280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 143360, while the sum is 42.

The square root of 45887280 is about 6774.0150575563. The cubic root of 45887280 is about 358.0118802171.

The spelling of 45887280 in words is "forty-five million, eight hundred eighty-seven thousand, two hundred eighty".