45550400 has 168 divisors, whose sum is σ = 132283200. Its totient is φ = 15429120.

The previous prime is 45550397. The next prime is 45550409. The reversal of 45550400 is 405554.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45550409) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 548759 + ... + 548841.

It is an arithmetic number, because the mean of its divisors is an integer number (787400).

Almost surely, 2^45550400 is an apocalyptic number.

45550400 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 45550400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66141600).

45550400 is an abundant number, since it is smaller than the sum of its proper divisors (86732800).

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

45550400 is an equidigital number, since it uses as much as digits as its factorization.

45550400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 23.

The square root of 45550400 is about 6749.1036441886. The cubic root of 45550400 is about 357.1336165228.

Adding to 45550400 its reverse (405554), we get a palindrome (45955954).

The spelling of 45550400 in words is "forty-five million, five hundred fifty thousand, four hundred".