45436500 has 144 divisors (see below), whose sum is σ = 149909760. Its totient is φ = 11563200.

The previous prime is 45436463. The next prime is 45436513. The reversal of 45436500 is 563454.

45436500 is a `hidden beast` number, since 4 + 5 + 4 + 3 + 650 + 0 = 666.

45436500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 103281 + ... + 103719.

It is an arithmetic number, because the mean of its divisors is an integer number (1041040).

Almost surely, 2^45436500 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 45436500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74954880).

45436500 is an abundant number, since it is smaller than the sum of its proper divisors (104473260).

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

45436500 is a wasteful number, since it uses less digits than its factorization.

45436500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 45436500 is about 6740.6602050541. The cubic root of 45436500 is about 356.8356939932.

Adding to 45436500 its reverse (563454), we get a palindrome (45999954).

The spelling of 45436500 in words is "forty-five million, four hundred thirty-six thousand, five hundred".