45384192 has 240 divisors, whose sum is σ = 158605920. Its totient is φ = 12773376.

The previous prime is 45384191. The next prime is 45384223. The reversal of 45384192 is 29148354.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (34560) is a multiple of the sum of its prime factors (108).

It is not an unprimeable number, because it can be changed into a prime (45384191) 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 23 ways as a sum of consecutive naturals, for example, 677343 + ... + 677409.

It is an arithmetic number, because the mean of its divisors is an integer number (660858).

Almost surely, 2^45384192 is an apocalyptic number.

45384192 is a gapful number since it is divisible by the number (42) 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 45384192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79302960).

45384192 is an abundant number, since it is smaller than the sum of its proper divisors (113221728).

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

45384192 is an equidigital number, since it uses as much as digits as its factorization.

45384192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 79 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 45384192 is about 6736.7790523365. The cubic root of 45384192 is about 356.6987077319.

The spelling of 45384192 in words is "forty-five million, three hundred eighty-four thousand, one hundred ninety-two".