45803520 has 288 divisors, whose sum is σ = 183980160. Its totient is φ = 10321920.

The previous prime is 45803477. The next prime is 45803539. The reversal of 45803520 is 2530854.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 645085 + ... + 645155.

It is an arithmetic number, because the mean of its divisors is an integer number (638820).

Almost surely, 2^45803520 is an apocalyptic number.

45803520 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 45803520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91990080).

45803520 is an abundant number, since it is smaller than the sum of its proper divisors (138176640).

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

45803520 is a wasteful number, since it uses less digits than its factorization.

45803520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 45803520 is about 6767.8297850936. The cubic root of 45803520 is about 357.7939161162.

It can be divided in two parts, 4580 and 3520, that added together give a square (8100 = 90²).

The spelling of 45803520 in words is "forty-five million, eight hundred three thousand, five hundred twenty".