45755960 has 64 divisors (see below), whose sum is σ = 106375680. Its totient is φ = 17704960.

The previous prime is 45755953. The next prime is 45755977. The reversal of 45755960 is 6955754.

45755960 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 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 15 ways as a sum of consecutive naturals, for example, 239465 + ... + 239655.

It is an arithmetic number, because the mean of its divisors is an integer number (1662120).

Almost surely, 2^45755960 is an apocalyptic number.

45755960 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 45755960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53187840).

45755960 is an abundant number, since it is smaller than the sum of its proper divisors (60619720).

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

45755960 is a wasteful number, since it uses less digits than its factorization.

45755960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 189000, while the sum is 41.

The square root of 45755960 is about 6764.3151907640. The cubic root of 45755960 is about 357.6700350128.

The spelling of 45755960 in words is "forty-five million, seven hundred fifty-five thousand, nine hundred sixty".