45261300 has 108 divisors (see below), whose sum is σ = 152386080. Its totient is φ = 10342080.

The previous prime is 45261277. The next prime is 45261301. The reversal of 45261300 is 316254.

It is a happy number.

45261300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45261301) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 13161 + ... + 16239.

Almost surely, 2^45261300 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 45261300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76193040).

45261300 is an abundant number, since it is smaller than the sum of its proper divisors (107124780).

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

45261300 is a wasteful number, since it uses less digits than its factorization.

45261300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3110 (or 3096 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 45261300 is about 6727.6518934915. The cubic root of 45261300 is about 356.3764586450.

Adding to 45261300 its reverse (316254), we get a palindrome (45577554).

The spelling of 45261300 in words is "forty-five million, two hundred sixty-one thousand, three hundred".