45744160 has 192 divisors, whose sum is σ = 139345920. Its totient is φ = 13777920.

The previous prime is 45744137. The next prime is 45744169. The reversal of 45744160 is 6144754.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45744169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 579001 + ... + 579079.

It is an arithmetic number, because the mean of its divisors is an integer number (725760).

Almost surely, 2^45744160 is an apocalyptic number.

45744160 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 45744160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69672960).

45744160 is an abundant number, since it is smaller than the sum of its proper divisors (93601760).

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

45744160 is a wasteful number, since it uses less digits than its factorization.

45744160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 31.

The square root of 45744160 is about 6763.4429102344. The cubic root of 45744160 is about 357.6392858727.

The spelling of 45744160 in words is "forty-five million, seven hundred forty-four thousand, one hundred sixty".