545014400 has 192 divisors, whose sum is σ = 1593648000. Its totient is φ = 180203520.

The previous prime is 545014399. The next prime is 545014427. The reversal of 545014400 is 4410545.

545014400 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 649181 + ... + 650019.

It is an arithmetic number, because the mean of its divisors is an integer number (8300250).

Almost surely, 2^545014400 is an apocalyptic number.

545014400 is a gapful number since it is divisible by the number (50) 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 545014400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (796824000).

545014400 is an abundant number, since it is smaller than the sum of its proper divisors (1048633600).

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

545014400 is a wasteful number, since it uses less digits than its factorization.

545014400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 899 (or 882 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 23.

The square root of 545014400 is about 23345.5434719349. The cubic root of 545014400 is about 816.8381110742.

Adding to 545014400 its reverse (4410545), we get a palindrome (549424945).

The spelling of 545014400 in words is "five hundred forty-five million, fourteen thousand, four hundred".