45200532 has 96 divisors (see below), whose sum is σ = 120121344. Its totient is φ = 13132800.

The previous prime is 45200521. The next prime is 45200537. The reversal of 45200532 is 23500254.

It is a junction number, because it is equal to n+sod(n) for n = 45200499 and 45200508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45200537) 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, 236557 + ... + 236747.

It is an arithmetic number, because the mean of its divisors is an integer number (1251264).

Almost surely, 2^45200532 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 45200532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60060672).

45200532 is an abundant number, since it is smaller than the sum of its proper divisors (74920812).

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

45200532 is a wasteful number, since it uses less digits than its factorization.

45200532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 287 counting only the distinct ones).

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

The square root of 45200532 is about 6723.1340905860. The cubic root of 45200532 is about 356.2168964008.

Adding to 45200532 its reverse (23500254), we get a palindrome (68700786).

The spelling of 45200532 in words is "forty-five million, two hundred thousand, five hundred thirty-two".