45203160 has 64 divisors (see below), whose sum is σ = 136500480. Its totient is φ = 11975040.

The previous prime is 45203149. The next prime is 45203167. The reversal of 45203160 is 6130254.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45203167) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18405 + ... + 20715.

It is an arithmetic number, because the mean of its divisors is an integer number (2132820).

Almost surely, 2^45203160 is an apocalyptic number.

45203160 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 45203160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68250240).

45203160 is an abundant number, since it is smaller than the sum of its proper divisors (91297320).

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

45203160 is a wasteful number, since it uses less digits than its factorization.

45203160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2488 (or 2484 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 45203160 is about 6723.3295323076. The cubic root of 45203160 is about 356.2237998583.

The spelling of 45203160 in words is "forty-five million, two hundred three thousand, one hundred sixty".