45405300 has 144 divisors (see below), whose sum is σ = 144365760. Its totient is φ = 10967040.

The previous prime is 45405299. The next prime is 45405313. The reversal of 45405300 is 350454.

It is a happy number.

45405300 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, 147747 + ... + 148053.

It is an arithmetic number, because the mean of its divisors is an integer number (1002540).

Almost surely, 2^45405300 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 45405300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72182880).

45405300 is an abundant number, since it is smaller than the sum of its proper divisors (98960460).

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

45405300 is a wasteful number, since it uses less digits than its factorization.

45405300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 363 counting only the distinct ones).

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

The square root of 45405300 is about 6738.3454942590. The cubic root of 45405300 is about 356.7539988588.

Adding to 45405300 its reverse (350454), we get a palindrome (45755754).

The spelling of 45405300 in words is "forty-five million, four hundred five thousand, three hundred".