45786384 has 200 divisors, whose sum is σ = 156041600. Its totient is φ = 12954816.

The previous prime is 45786379. The next prime is 45786397. The reversal of 45786384 is 48368754.

45786384 is a `hidden beast` number, since 4 + 5 + 7 + 8 + 638 + 4 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

Its product of digits (645120) is a multiple of the sum of its prime factors (144).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 444477 + ... + 444579.

It is an arithmetic number, because the mean of its divisors is an integer number (780208).

Almost surely, 2^45786384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45786384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78020800).

45786384 is an abundant number, since it is smaller than the sum of its proper divisors (110255216).

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

45786384 is a wasteful number, since it uses less digits than its factorization.

45786384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 115 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 45786384 is about 6766.5636773772. The cubic root of 45786384 is about 357.7492912977.

The spelling of 45786384 in words is "forty-five million, seven hundred eighty-six thousand, three hundred eighty-four".