45220160 has 56 divisors (see below), whose sum is σ = 108301536. Its totient is φ = 17984000.

The previous prime is 45220117. The next prime is 45220177. The reversal of 45220160 is 6102254.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 80039 + ... + 80601.

It is an arithmetic number, because the mean of its divisors is an integer number (1933956).

Almost surely, 2^45220160 is an apocalyptic number.

45220160 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 45220160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54150768).

45220160 is an abundant number, since it is smaller than the sum of its proper divisors (63081376).

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

45220160 is a wasteful number, since it uses less digits than its factorization.

45220160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 831 (or 821 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 45220160 is about 6724.5936680219. The cubic root of 45220160 is about 356.2684504654.

The spelling of 45220160 in words is "forty-five million, two hundred twenty thousand, one hundred sixty".