45758160 has 180 divisors, whose sum is σ = 178898148. Its totient is φ = 10450944.

The previous prime is 45758147. The next prime is 45758183. The reversal of 45758160 is 6185754.

45758160 is a `hidden beast` number, since 4 + 575 + 81 + 6 + 0 = 666.

45758160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 35569296 + 10188864 = 5964^2 + 3192^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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, 34632 + ... + 35928.

Almost surely, 2^45758160 is an apocalyptic number.

45758160 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 45758160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89449074).

45758160 is an abundant number, since it is smaller than the sum of its proper divisors (133139988).

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

45758160 is a wasteful number, since it uses less digits than its factorization.

45758160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1330 (or 1314 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 45758160 is about 6764.4778068968. The cubic root of 45758160 is about 357.6757673186.

The spelling of 45758160 in words is "forty-five million, seven hundred fifty-eight thousand, one hundred sixty".