45554400 has 360 divisors, whose sum is σ = 179597880. Its totient is φ = 11197440.

The previous prime is 45554371. The next prime is 45554413. The reversal of 45554400 is 445554.

45554400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (27).

It is a congruent number.

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 1231182 + ... + 1231218.

It is an arithmetic number, because the mean of its divisors is an integer number (498883).

Almost surely, 2^45554400 is an apocalyptic number.

45554400 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 45554400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89798940).

45554400 is an abundant number, since it is smaller than the sum of its proper divisors (134043480).

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

45554400 is a wasteful number, since it uses less digits than its factorization.

45554400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 27.

The square root of 45554400 is about 6749.3999733310. The cubic root of 45554400 is about 357.1440700911.

Adding to 45554400 its reverse (445554), we get a palindrome (45999954).

It can be divided in two parts, 45554 and 400, that added together give a palindrome (45954).

The spelling of 45554400 in words is "forty-five million, five hundred fifty-four thousand, four hundred".