45540200 has 48 divisors (see below), whose sum is σ = 106903500. Its totient is φ = 18040320.

The previous prime is 45540199. The next prime is 45540203. The reversal of 45540200 is 204554.

45540200 = T₄₉ + T₅₀ + ... + T₆₄₈.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 30625156 + 14915044 = 5534^2 + 3862^2 .

It is a super-3 number, since 3×45540200³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (45540203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20756 + ... + 22844.

Almost surely, 2^45540200 is an apocalyptic number.

45540200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45540200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53451750).

45540200 is an abundant number, since it is smaller than the sum of its proper divisors (61363300).

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

45540200 is a wasteful number, since it uses less digits than its factorization.

45540200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2214 (or 2205 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 20.

The square root of 45540200 is about 6748.3479459791. The cubic root of 45540200 is about 357.1069571534.

Adding to 45540200 its reverse (204554), we get a palindrome (45744754).

The spelling of 45540200 in words is "forty-five million, five hundred forty thousand, two hundred".