45520032 has 48 divisors (see below), whose sum is σ = 120264480. Its totient is φ = 15075072.

The previous prime is 45520021. The next prime is 45520039. The reversal of 45520032 is 23002554.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 45519990 and 45520008.

It is not an unprimeable number, because it can be changed into a prime (45520039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14194 + ... + 17102.

It is an arithmetic number, because the mean of its divisors is an integer number (2505510).

Almost surely, 2^45520032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45520032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60132240).

45520032 is an abundant number, since it is smaller than the sum of its proper divisors (74744448).

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

45520032 is a wasteful number, since it uses less digits than its factorization.

45520032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3085 (or 3077 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 21.

The square root of 45520032 is about 6746.8534888495. The cubic root of 45520032 is about 357.0542330652.

Adding to 45520032 its reverse (23002554), we get a palindrome (68522586).

The spelling of 45520032 in words is "forty-five million, five hundred twenty thousand, thirty-two".