45060200 has 96 divisors (see below), whose sum is σ = 115003800. Its totient is φ = 16343040.

The previous prime is 45060179. The next prime is 45060227. The reversal of 45060200 is 206054.

It can be written as a sum of positive squares in 12 ways, for example, as 15007876 + 30052324 = 3874^2 + 5482^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 98372 + ... + 98828.

Almost surely, 2^45060200 is an apocalyptic number.

45060200 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 45060200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57501900).

45060200 is an abundant number, since it is smaller than the sum of its proper divisors (69943600).

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

45060200 is a wasteful number, since it uses less digits than its factorization.

45060200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 519 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 45060200 is about 6712.6894759105. The cubic root of 45060200 is about 355.8478708667.

Adding to 45060200 its reverse (206054), we get a palindrome (45266254).

The spelling of 45060200 in words is "forty-five million, sixty thousand, two hundred".