45609200 has 180 divisors, whose sum is σ = 138038040. Its totient is φ = 14353920.

The previous prime is 45609191. The next prime is 45609211. The reversal of 45609200 is 290654.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 45609200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 254711 + ... + 254889.

It is an arithmetic number, because the mean of its divisors is an integer number (766878).

Almost surely, 2^45609200 is an apocalyptic number.

45609200 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 45609200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69019020).

45609200 is an abundant number, since it is smaller than the sum of its proper divisors (92428840).

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

45609200 is a wasteful number, since it uses less digits than its factorization.

45609200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 45609200 is about 6753.4583733077. The cubic root of 45609200 is about 357.2872223983.

Adding to 45609200 its reverse (290654), we get a palindrome (45899854).

The spelling of 45609200 in words is "forty-five million, six hundred nine thousand, two hundred".