45043200 has 360 divisors, whose sum is σ = 178100208. Its totient is φ = 10813440.

The previous prime is 45043189. The next prime is 45043213. The reversal of 45043200 is 234054.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1958389 + ... + 1958411.

Almost surely, 2^45043200 is an apocalyptic number.

45043200 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 45043200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89050104).

45043200 is an abundant number, since it is smaller than the sum of its proper divisors (133057008).

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

45043200 is a wasteful number, since it uses less digits than its factorization.

45043200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 45043200 is about 6711.4230979726. The cubic root of 45043200 is about 355.8031146316.

Adding to 45043200 its reverse (234054), we get a palindrome (45277254).

The spelling of 45043200 in words is "forty-five million, forty-three thousand, two hundred".