45501300 has 108 divisors (see below), whose sum is σ = 153631660. Its totient is φ = 11197440.

The previous prime is 45501293. The next prime is 45501301. The reversal of 45501300 is 310554.

It can be written as a sum of positive squares in 6 ways, for example, as 2178576 + 43322724 = 1476^2 + 6582^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45501301) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9756 + ... + 13644.

Almost surely, 2^45501300 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 45501300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76815830).

45501300 is an abundant number, since it is smaller than the sum of its proper divisors (108130360).

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

45501300 is a wasteful number, since it uses less digits than its factorization.

45501300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3922 (or 3912 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 45501300 is about 6745.4651433389. The cubic root of 45501300 is about 357.0052490813.

Adding to 45501300 its reverse (310554), we get a palindrome (45811854).

The spelling of 45501300 in words is "forty-five million, five hundred one thousand, three hundred".