45803120 has 160 divisors (see below), whose sum is σ = 126849024. Its totient is φ = 15206400.

The previous prime is 45803119. The next prime is 45803123. The reversal of 45803120 is 2130854.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45803123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 627404 + ... + 627476.

Almost surely, 2^45803120 is an apocalyptic number.

45803120 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 45803120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63424512).

45803120 is an abundant number, since it is smaller than the sum of its proper divisors (81045904).

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

45803120 is a wasteful number, since it uses less digits than its factorization.

45803120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 45803120 is about 6767.8002334584. The cubic root of 45803120 is about 357.7928745807.

Adding to 45803120 its reverse (2130854), we get a palindrome (47933974).

The spelling of 45803120 in words is "forty-five million, eight hundred three thousand, one hundred twenty".