45660384 has 288 divisors, whose sum is σ = 169827840. Its totient is φ = 11289600.

The previous prime is 45660323. The next prime is 45660389. The reversal of 45660384 is 48306654.

45660384 is a `hidden beast` number, since 45 + 6 + 603 + 8 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45660389) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 643069 + ... + 643139.

It is an arithmetic number, because the mean of its divisors is an integer number (589680).

Almost surely, 2^45660384 is an apocalyptic number.

45660384 is a gapful number since it is divisible by the number (44) 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 45660384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84913920).

45660384 is an abundant number, since it is smaller than the sum of its proper divisors (124167456).

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

45660384 is a wasteful number, since it uses less digits than its factorization.

45660384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 45660384 is about 6757.2467766095. The cubic root of 45660384 is about 357.4208252136.

The spelling of 45660384 in words is "forty-five million, six hundred sixty thousand, three hundred eighty-four".