45067200 has 168 divisors, whose sum is σ = 152125680. Its totient is φ = 11673600.

The previous prime is 45067199. The next prime is 45067201. The reversal of 45067200 is 276054.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (45067199) and next prime (45067201).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45067201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 196686 + ... + 196914.

It is an arithmetic number, because the mean of its divisors is an integer number (905510).

Almost surely, 2^45067200 is an apocalyptic number.

45067200 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 45067200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76062840).

45067200 is an abundant number, since it is smaller than the sum of its proper divisors (107058480).

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

45067200 is a wasteful number, since it uses less digits than its factorization.

45067200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 45067200 is about 6713.2108562148. The cubic root of 45067200 is about 355.8662966329.

The spelling of 45067200 in words is "forty-five million, sixty-seven thousand, two hundred".