45303600 has 120 divisors (see below), whose sum is σ = 152837440. Its totient is φ = 11439360.

The previous prime is 45303569. The next prime is 45303611. The reversal of 45303600 is 630354.

It is a tau number, because it is divible by the number of its divisors (120).

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, 21807 + ... + 23793.

Almost surely, 2^45303600 is an apocalyptic number.

45303600 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 45303600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76418720).

45303600 is an abundant number, since it is smaller than the sum of its proper divisors (107533840).

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

45303600 is a wasteful number, since it uses less digits than its factorization.

45303600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2027 (or 2016 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 21.

The square root of 45303600 is about 6730.7949010499. The cubic root of 45303600 is about 356.4874440453.

Adding to 45303600 its reverse (630354), we get a palindrome (45933954).

The spelling of 45303600 in words is "forty-five million, three hundred three thousand, six hundred".