45308160 has 360 divisors, whose sum is σ = 178073280. Its totient is φ = 10948608.

The previous prime is 45308149. The next prime is 45308167. The reversal of 45308160 is 6180354.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (45308167) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1969909 + ... + 1969931.

It is an arithmetic number, because the mean of its divisors is an integer number (494648).

Almost surely, 2^45308160 is an apocalyptic number.

45308160 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 45308160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89036640).

45308160 is an abundant number, since it is smaller than the sum of its proper divisors (132765120).

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

45308160 is a wasteful number, since it uses less digits than its factorization.

45308160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 45308160 is about 6731.1336340917. The cubic root of 45308160 is about 356.4994043031.

The spelling of 45308160 in words is "forty-five million, three hundred eight thousand, one hundred sixty".