45218400 has 144 divisors (see below), whose sum is σ = 149615424. Its totient is φ = 11860480.

The previous prime is 45218399. The next prime is 45218401. The reversal of 45218400 is 481254.

45218400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (45218399) and next prime (45218401).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45218401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 199087 + ... + 199313.

It is an arithmetic number, because the mean of its divisors is an integer number (1038996).

Almost surely, 2^45218400 is an apocalyptic number.

45218400 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 45218400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74807712).

45218400 is an abundant number, since it is smaller than the sum of its proper divisors (104397024).

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

45218400 is a wasteful number, since it uses less digits than its factorization.

45218400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 45218400 is about 6724.4628038231. The cubic root of 45218400 is about 356.2638283336.

Adding to 45218400 its reverse (481254), we get a palindrome (45699654).

It can be divided in two parts, 4521 and 8400, that added together give a palindrome (12921).

The spelling of 45218400 in words is "forty-five million, two hundred eighteen thousand, four hundred".