45700960 has 24 divisors (see below), whose sum is σ = 107968896. Its totient is φ = 18280320.

The previous prime is 45700933. The next prime is 45700961. The reversal of 45700960 is 6900754.

45700960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45700961) 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 3 ways as a sum of consecutive naturals, for example, 142656 + ... + 142975.

It is an arithmetic number, because the mean of its divisors is an integer number (4498704).

Almost surely, 2^45700960 is an apocalyptic number.

45700960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45700960 is an abundant number, since it is smaller than the sum of its proper divisors (62267936).

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

45700960 is a wasteful number, since it uses less digits than its factorization.

45700960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285646 (or 285638 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 31.

The square root of 45700960 is about 6760.2485161420. The cubic root of 45700960 is about 357.5266676115.

The spelling of 45700960 in words is "forty-five million, seven hundred thousand, nine hundred sixty".