45735204 has 48 divisors (see below), whose sum is σ = 116222400. Its totient is φ = 13942656.

The previous prime is 45735203. The next prime is 45735211. The reversal of 45735204 is 40253754.

It is not an unprimeable number, because it can be changed into a prime (45735203) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3154 + ... + 10070.

It is an arithmetic number, because the mean of its divisors is an integer number (2421300).

Almost surely, 2^45735204 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 45735204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58111200).

45735204 is an abundant number, since it is smaller than the sum of its proper divisors (70487196).

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

45735204 is a wasteful number, since it uses less digits than its factorization.

45735204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6972 (or 6970 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 30.

The square root of 45735204 is about 6762.7807889950. The cubic root of 45735204 is about 357.6159442665.

Adding to 45735204 its reverse (40253754), we get a palindrome (85988958).

The spelling of 45735204 in words is "forty-five million, seven hundred thirty-five thousand, two hundred four".