45992160 has 216 divisors, whose sum is σ = 169336440. Its totient is φ = 11335680.

The previous prime is 45992159. The next prime is 45992171. The reversal of 45992160 is 6129954.

45992160 is a `hidden beast` number, since 4 + 599 + 2 + 1 + 60 = 666.

45992160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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 35 ways as a sum of consecutive naturals, for example, 1121740 + ... + 1121780.

It is an arithmetic number, because the mean of its divisors is an integer number (783965).

Almost surely, 2^45992160 is an apocalyptic number.

45992160 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 45992160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84668220).

45992160 is an abundant number, since it is smaller than the sum of its proper divisors (123344280).

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

45992160 is a wasteful number, since it uses less digits than its factorization.

45992160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 45992160 is about 6781.7519860284. The cubic root of 45992160 is about 358.2844300789.

The spelling of 45992160 in words is "forty-five million, nine hundred ninety-two thousand, one hundred sixty".