545126400 has 648 divisors, whose sum is σ = 2416017240. Its totient is φ = 115015680.

The previous prime is 545126389. The next prime is 545126419. The reversal of 545126400 is 4621545.

545126400 is a `hidden beast` number, since 5 + 4 + 5 + 12 + 640 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 41932794 + ... + 41932806.

Almost surely, 2^545126400 is an apocalyptic number.

545126400 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 545126400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1208008620).

545126400 is an abundant number, since it is smaller than the sum of its proper divisors (1870890840).

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

545126400 is a wasteful number, since it uses less digits than its factorization.

545126400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 545126400 is about 23347.9420934694. The cubic root of 545126400 is about 816.8940604230.

Adding to 545126400 its reverse (4621545), we get a palindrome (549747945).

The spelling of 545126400 in words is "five hundred forty-five million, one hundred twenty-six thousand, four hundred".